It;s possible! Remove the plug of the boiler and the Adam from the socket. Connect Adam to the other boiler. To do this, follow step 2 in the manual. As soon as you have properly connected the Adam to the boiler, plug the boiler and the Adam back into the socket. Wait for the Adam to boot.
Connect to Adam's web interface via connect.plugwise.net. Go to Settings> Heating system> Boiler via the menu and look under Boiler protocol. Click on the Check button behind the boiler protocol. The new boiler protocol is now recognized and you can use Adam the same way you are used to.