I do believe you can order new pumps but not new modules. I dont know of a reason why you cant replace the module apart from the pump.
But I admit I don't know if I remember anyone doing so.

Just be damn careful that the ABS module has power and that fuses 14, 17, 18 are good and that 17 and 18 have battery power on them. That is, MEASURE BOTH SIDES OF BOTH OF THOSE FUSES to be sure, they are powered by the 50 amp ABS fuse next to the battery.

Then, make sure Pin 4 at the module has 12 volts when the key is "ON".
Then, make sure Pin 6 has five volts on it when the key is "ON".

If any of that is missing, the ABS module will look bad/dead/insane. If any of those are missing, the ABS module is not getting what it needs to operate. I learned a LONG time ago to not trust the procedures in the service manual completely.