I suppose it's always possible, but I've been spending approximately a third of my time in a chair at a computer since I was 12 (I'm 27 now). Essentially everyone I know who does the same has had issues, but I never have.
Yeah, and I never had a moment's back or neck pain, despite terrible posture habits, until a bulged disc put me out of work for a long time at the ripe old age of 34. I genuinely hope you never experience any work-related ailments.