depends on how the FP reader is connected.
More then likely all the connections/circuitry is all intergrated & a single SOC/cpu controlls both the mouse & FP reader
IF this is the case, your only option is to remove the internals & move into a new body. this will likely require modifications to the housing (cutting, fiberglass/body filler, paint)
I highly doubt the FP reader is on its own & can just be pulled out & put into another mouse & work correctly