A question about college credits?

Okay, I'm a recent high school graduate and I'm going to be attending CCDC (Community College of the District of Columbia). What I want to know is if I only attend CCDC for one year and gain 32 credits, when 120 credits is required for my major to graduate with a bachelor's from ASU (Arizona State University a.k.a the school I want to go to so freakin' badly!), would I be able to finish out the rest of my credits when I get to the school I want to transfer to? Would they let me do that? Thanks.