Can you take percocet and gabapentin and naproxen together?

Absolutely - in fact, before certain NSAIDS got a bad rap a few years back (for nothing) Naproxen and Percocet were usually prescribed together. I still use it occasionally with my Percocet.

Naproxen as a generic drug isn't buffered, and can be hard on your stomach. Aleve is Naproxen in buffered and non-prescription dosages. If you want to take Naproxen with Percocet and get the benefit of buffering, just substitute Aleve for Naproxen and just increase it to prescription levels (500mg).