Yeah most of your data is saved on the servers so as long as you log in with the PSN code you register your game with it should still be there. You just need to re-download the client again via disc or go to your download history and re-download from there.

The only things that aint saved is like your Maccros, cross hot bar config, and a few other mainly menu stuff but more important things like story progress, items, weapons etc should still be there when you log in on the other PS3. I think if you go into your character save data settings you can transfer that over too. Not 100% as I never done that before.