No. It is specific to the radio serial number. I am told for like $20 you can call them and switch it to the new unit. You will need both Sirius numbers from the head units.
"Our culture has accepted two HUGE lies!!! The first is that if you disagree with someone's lifestyle, you must fear or hate them. The second is that to love somone you must agree with everything they believe or do!!! BOTH are nonsense!!! You do not have to compromise convictions to be compassionate."
- Rick Warren