Obviously, I think yes, and thankfully the mods seemed to agree! Which I'm glad for, I like playing him. XD But here is some of my logic for saying yes!
First I compared him to KH2 Riku (as he's not a tiny shrimp like Sora, who is dwarfed by EVERYONE around him). We know his age: 16. That's a pretty young teen. But he looks like, well, I wouldn't guess him for 16 if we didn't have the canon number. So, here's some comparisons:
Out-of-engine:
VERSUS
In-Engine/Renders
VERSUS
Character Design Art
VERSUS
And there's no manga image of KH2 Riku yet (and, er, won't be for some time, for various reasons XD) but:
...so in short, does he look Riku's age? Nah, I don't think so. But I don't think he looks more than five years older than Riku, physically, which puts him in camper range.
(There's also the 'Nobody age' thing, which is, well. As himself, as his actual identity and not his 'other' or past life -- and we do differentiate the two at camp given that we have both Sora and Roxas as characters -- which is certainly less than nine years, since the oldest nobody was 'made' then. Given his number is so high, it's probably within the last two to five years at most. So as for his own ACTUAL age, it's a very few number of years -- but that's all tangled up in identity fragments and physical age appearance and recycled bodies and best, really, not to touch that one too much.)
Anyway, just was browsing some art and thought I'd share my logic from when I decided to app him, pretty much. XD