If I use my Apple Care to get a new iPhone can I repurchase Apple Care again?

I figure that because they will usually replace your troubled phone with a refurbished one you should be able to, but if anyone could weigh in on their knowledge or experiences I would appreciate it.

Worked at AT&T call center not sure of your provider but they allow two claims per year call customer care gather your questions and quiz them ask them where you can locate validated info online. 1800-APL-CARE