The problem is that many universities require most of prerequisites to be done before transfer.
If you are humanity major, you don't have to worry about taking many science classes at CC, but you may have to attend university for an additional semester or year.
If you are science major, you won't have problem in finishing both prerequisites and degree requirement in 4 years, but you will have to take most of prerequisites at CC. (general bio, g chem, o chem, etc.)
If you have no choice other than trasnferring from CC, I think you will have to take many upper division science classes when you transfer, and get A's in most of the courses to prove your ability.