You can move the Pro adapter to another vehicle. You just have to remember to run Setup each time you move the adapter, even if you're moving it back to a vehicle that was previously installed. To do so, open the Automatic app and go to the Main Menu. Tap on Add a Vehicle and follow the in-app instructions.
If you are moving it back to a previously installed vehicle, this will not create a duplicate entry. The app will recognize the VIN and merge them.