Is it possible to transfer an exisiting customized car plate to another car?

I have a customized car plate for my old car, now I want to sell this car and buy a new one, but I would like to keep my current car plate and use it on my new car. Is this kind of transfer allowed in California?

Cal DMV:

"Complete a Special Interest License Plate Application (PDF) indicating that you want to reassign the plates to another vehicle, hold the plates for future use, or release interest in the plates. If retaining the plates for future use, most plate programs require an annual retention fee. The retention fees vary by type of plate and are listed on the second page of the application. Failure to pay this annual fee will result in cancellation of the plate and possible reassignment of the configuration"

http://www.dmv.ca.gov/vr/vr_info.htm#BM2517