Depends on what kind of waiting you are doing. Just sitting on the couch waiting for everything you want to bust through the front door and jump in your lap, no. However, I firmly believe, and have had proof of this several times over in my life, that the energy of the Universe will bring you the things you want if you a) give up control, stop trying to make things happen when and how you want them, b) have faith, and accept that sometimes the good stuff takes time to get organized before it comes to you, c) realize sometimes you must go through a change before you are truly ready for the thing you are waiting for (and sometimes that process is unpleasant, but on the back end of it you can see how it was necessary), d) you have to get out there and keep striving forward, trusting it will come to you.
This might sound like the Law of Attraction, or if you are familiar with Taoism, they call it wu wei, to do without doing. Think of life like a river, it's flowing in one direction, and it curves and bends and meanders across the land. You are in the river, and if you try to swim against the current, it's hard, sometimes impossible, but if you can relax and go with the flow, you might find it takes you to exactly where you want to be.
A couple of examples from my personal life, in my early adulthood years, I worked at a school in a small town outside the OKC metro area. I loved the town, and decided I wanted to live there. My husband at the time joined the military, and for the first four years he was in, I did everything I could to try to get us transferred back to the OKC metro so we could live in this town. I was miserable for four years. After four years, my husband cross trained into a new career in the military, and the new field was very limited, no bases in OK. I finally made peace with it, let go, and just made a life where I was. Three years later the military decided his current job was overmanned and he was forced to crosstrain into a new field, and low and behold, we got sent back to OK. Once I let go of making it happen on my terms in my time, it happened on it's own.
A second example, and the reason I absolutely believe this is true, a couple of years ago I was working for a corporation at a hospital complex, and I enjoyed my job, but it was high stress, and about an hour commute with a 45 minute drive and then either a 15 minute shuttle ride the last four miles from the parking garage, or a 10 minute walk once I moved into the closer parking garage. I was pretty settled into the grind, but often thought I would like to work somewhere where I was happier, and could use more of my creative skills (I was working in accounting), and I hated being so far away from my kids in case something happened (45 minutes seems like a long drive when your kid is at home with a cut open hand, or there is a tornado bearing down on the city). One day, my son calls me at work and tells me that the house is weird, things are moved around and doors are standing open. At first I don't understand what he is saying, then it clicks that my home had been robbed. I freak out and call the police and then hurry home, and although they took several things, it was clear that my son had interrupted them when he came home. My parents came over, and my mother mentions that she had received a letter from a lawyer for my ex, so I hop online to see the court records to find out what he's being sued over and find out there is a warrant out for his arrest. Suddenly getting robbed is not the worst thing that happened to me today. His charges were really serious, and for about two days I had no idea where he was and was terrified that he would try to take the kids and run. In the end I found out he had been picked up and was in jail already. Bad part of this is now I no longer have child support payments.
So I begin adjusting to the sudden lack of almost half my income, and have just about figured out how to make it work when the managers at my work ask me to step into their office, and notify me that they have eliminated my position and I'm getting laid off. Now I felt like I had just been punched in the stomach, I was supporting two children totally on my own and now I lost my job to boot? So I freaked out and cried for the rest of the night, then the next morning I decided that the universe was clearly clearing some big space in my life for better things, and so I knew they were going to happen, and I went forward with a great attitude and faith it was coming. I looked for work, but I didn't force anything, I didn't attach to anything, I stayed open and flowing. In the end, I only had one week I had no income, and within 6 weeks of my final day at my old job, I was offered a job working for the city I live in (which incidentally is the town I had wanted to live in so badly all those years ago).
My new job is a mile and a half from my home, and my commute is 5 minutes if there is traffic at the intersection. I am within four miles of both my kids' schools. I get an hour lunch and can come home, take off my shoes and relax, which makes the day go by so much better. My starting salary was lower than my old job, however between the fact that my new job pays for my health insurance and the gas I save by not driving 30 miles away, it equaled out, and I've earned two promotions in the year and a half I've worked there and now make more money than I've ever made and I'm a City Official, with really neat opportunities, and I get to use my writing, publishing, and creative design skills as I write the City Newsletter and do all the content and design for the City's website. I also get to do some accounting everyday too. My job is pretty much my dream job, and I never would have imagined it, but I love it and I'm so happy. And it's all because I had faith and trusted the flow of the Universe. And as for my ex husband? He spent a year and a half in jail, and then lost most of his rights when we went back to court (because of the nature of his crime) and now has limited visitation so he can't make my life hell any more.
I know it's long, but really, when I look back at it, it blows my mind. And that's what keeps me strong when I feel lonely because I don't have a relationship right now, because I know when the time is right, the right person will come along, and it's going to be amazing too.
So I consider it open active waiting. Think of it like fishing, you don't jump in the lake and chase the fish, you open yourself to catching one by casting out your line (your desire), then relax and wait for it to come to you, but you are alert and ready to act when it touches you (your line). You have to cast your line and be alert, but if you relax and wait, it will come to you. Does that make sense?
Yes, introverts are sometimes wait longer to make decisions or take action but I don't it's always deliberate. Sometimes, it's being faced with too many choices, or worrying about outcomes, fear of risk if it doesn't turn out how we expected. 
