Yep.
http://na.finalfantasyxiv.com/lodest...e/ps4/upgrade/
Edit: Oh, my bad, you're asking about a physical copy. No idea, nevermind.* Upgrading should not be confused with registering a PlayStation®4 license in addition to the PlayStation®3 version. After upgrading, you will no longer be able to access FINAL FANTASY XIV: A Realm Reborn using your PlayStation®3.
* Users who wish to play using both the PlayStation®3 and PlayStation®4 are required to purchase the PlayStation®4 version separately.