Yes. Don't forget you have to transfer it on DVLA's database.
------------- Love a lot. Trust a few. But ALWAYS paddle your own canoe!!
Minds are like parachutes:- They only function when they are open!!!
Those who talk don't know.
Those who know don't talk.
Providing the private plate is older than the camper registration then you will have to go to your local DVLA office with the relevent forms filled in and pay them £80.
You will then get two new V5 documents through the post