The precocious preadolescent crewmember evokes Will Robinson from Lost in Space and maybe Gary Coleman's guest character in Buck Rogers.
Well, also Wesley Crusher.
I said preadolescent, specifically in the hope of pre-empting Wesley Crusher comparisons. Everyone points that one out, but the cliche of precocious child heroes was around long before him.
Particularly given that he was the pilot and all that, I think there's a clear Wesley influence. I'll agree it wasn't exclusively him, but he was definitely there.