Yes... but he's also a "cadet", in fact not even a cadet because the series ends before his eighteenth birthday and most Starfleet cadets are over eighteen (although the minimum age appears to be about fifteen or sixteen for humans, other races may have equivalent values based on varying lifespans and maturation rates [an Ocampan for instance would likely be admitted at 1 or 2]).
Age wasn't the point there.
I was pointing out that Superman, Buffy, Harry Potter all have a sort of predetermined destiny and are the only people who could resolve the problem, due to supernatural circumstances.
That doesn't make any sense in the context of Star Trek.