No, the unique 24 bit code is issued by Airworthiness Authority then a tech converts to a Binary Code, setting is by strapping and or a locking thumbwheel at the Transponder depending on type.
The Mode S transponder sends the aircraft registration, you can easily change your RMUs, FMS, and other displays, but the transponder sends the code.
Can-not change it in flight.
Maybe why the manufacturers keep some components out of the driver's reach.