Do you have to get your RN at the same place to get accepted in to the CRNA program?

Hi! I'm currently starting my third semester at a community college. I plan to become a CRNA. To become a CRNA you obviously have to get your RN first. I want to go to SDSU to get my RN and then transfer to Loma Linda U for my Nurse Anesthesia program. Is it possible to do that or do I have to get my RN at the same place the Nurse Anesthesia program is offered at? THANKS! (: