I think so, and I think he's a great character.
In one episode of the second season, after pointing out that they were about to enter "bottle episode" circumstances (which is a term used to mean minimal set, costume, and actor budgets to distribute the saved money to other episodes; it means that the focus is more on a personal, emotional plot and focuses a lot on character reactions... and it was, in fact, the season's bottle episode) tried to make a quick escape and, when he got stuck in it anyway, complained about having to deal with complex social issues and minute facial expressions he didn't understand. Up until that episode I wasn't sure, but it seems pretty clear from that that he does have Asperger's, or something very, very similar.
I discovered Community around the same time that I was diagnosed, and I've got to say it's been a pleasure. If nothing else, I can see a character I'm proud to have some association with... especially since my only exposure to Asperger's in television before that was in Parenthood, which just made me angry.