Can I move my Xbox 360 account to my PS4?
If you mean your GTA online character profiles, yes you can. I took mine from 360 to PS4.
The short version is you link your PSN account to your Rockstar Social Club profile along with your old XBox live profile. Then when you log into GTA online for the first time you'll get prompted with the option to start the transfer. I believe you only get one shot at it.
Single player game progress was not transferred.