Many situations offer opportunities for both growth and safety. Getting into a relationship, getting a job, starting your studies... in all of these cases you're starting something new but also taking a step in a direction that's supposed to increase your safety. So no, they're not opposites, or at least not mutually exclusive.
This reminds me of another quote I dislike, sometimes attributed to Einstein, that "insanity is doing the same thing over and over again and expecting different results". Yeah.. so insanity is learning to walk, talk, cook, play the piano, well, pretty much learning any skill through repetition. The error of course comes from temporality: you never step in the same river twice, so the idea of 'the same thing' is not as simple as it seems.