In reply to Jim Hamilton:
Possibly not be a 'great' climber but certainly a good one. And even regardless of level, you can improve and be a better climber and have more fun.
The only serious thing that could stop someone climbing is morbid obesity, but that's very fixable. Like he says, you just need the right goals. Other than that, i've never seen age, gender or body type (or even amputation!) stop someone climbing hard.
Essentially, doesn't matter what roll of the dice you get in this life, you can climb hard!