Possibly. Also Occidental College, and maybe Columbia as well. Perhaps the state of Illinois would have a copy, since I think you need one, or a naturalization certificate to get a license to practice law. If he got a driver's license in Hawaii, there's probably a copy associated with that as well. Or if he never got a license until he moved to the mainland to attend Occidental, California might have a copy.
I went to Occidental the same time Obama was. At the time they were very proud of having as many foreign students as possible for a diverse and worldly college experience. If you were foreign it was really easy to get a scholarship and have entrance standards waived.
It seems very likely he was a foreign student. Why else hide his records?
Forget Illinois, they have the distinction of being one of his more famous enablers, falling down to accomodate him when he lied that he had not used any other name than Barack Hussein Obama in the past when he applying to the Illionois Bar Association.