It's highly doubtful. To the best of my knowledge, Apple does not sell factory-refurbished products through any dealer, so such "refurbishment" would have been carried out by some third-party shop. If they made any sort of modifications to the hardware and did not just reinstall the OS and clean up the case, then any warranty would almost certainly be void, not only making it impossible to get AppleCare but to get any service from Apple at all.
Check with GameStop and find out exactly what this "refurbishment" consists of. Or, as the others have advised, accept a slightly higher price and get an officially refurbished iPad directly from Apple; it's likely to be much less of a risk.
Regards.