Transfer Character
No, it’s not. Characters are completely tied to accounts.
They did specifically say in the Guild Wars 1 wiki that that was not an option for that game. They haven’t said one way or another in this game but while they talk about server transfers, item and character deletion, spending laurels on the wrong thing and other topics, this is something they have never once mentioned they do since the game was released.
(edited by Astral Projections.7320)
Plus the fact that you are not allowed to share accounts in the first place.
You or your girlfriend will need to start over.