I can't see why not. If you're not comfortable taking the components out of your current vehicle and installing them on your next car, then maybe you can take it back to the place that originally installed it and have them do it for you.
I've had a U.S. Gear Unified Tow Brake transferred from one car to another using most of the same components so I'm thinking you can do the same. However, I had somebody else do it as I'm not "comfortable" doing that stuff myself. I could have tried to do it but chances are I'd mess it up to the point where I'd end up taking it to an expert to correct all the stuff I messed up so I just took mine to an expert to begin with.
-harry