If I'm not mistaken, it's possible for you to do that. The main thing that you have to prove to the USCIS is that it's a bona fide marriage. During the interview process, you need to show conversation records on your phone bill, train tickets to meet each other, etc.

In my opinion, you're still pretty young to get married. You can afford to wait as you still have 4 years of college ahead of you. Only get married when both of you are truly ready and only because you really love each other.