Can you pursue advanced nursing degrees or specialties if you went through an accelerated nursing degree program?

You can. Going through an accelerated program has exposed you to the stress of deadlines and having to learn a lot very quickly which you will encounter in graduate school. You should have a full year of clinical experience as an RN, however. Be sure those practice skills you had to acquire in a short time are well-grounded and familiar, as They will need to be almost automatic in a graduate program. Aftr all, nursing at any level is a PRACTICE discipline.