The way your life will develop depends largely on you. I think those with higher IQs can compensate better since they have more mental power to spare than those with only average intelligence. Plus, if you had a good experience growing up without being around overly critical people all the time it may have been easier to learn to cope than for someone who had a different experience. In the end, every person is different. The way their life turns out is dependent on the mix of their neurological wiring and their environment.
As to whether or not you can grow out of it? No. You will always have it if you do. However, you may well have learned to cope and deal with life well enough that it no longer presents itself as a significant impairment, especially if your ASD traits were mild to begin with.
_________________
Uncertain of diagnosis, either ADHD or Aspergers.
Aspie quiz: 143/200 AS, 81/200 NT; AQ 43; "eyes" 17/39, EQ/SQ 21/51 BAPQ: Autistic/BAP- You scored 92 aloof, 111 rigid and 103 pragmatic