It would be workable up to 1.5A if you use premium high temperature 22 AWG Cat7 cable. Cheap 24 AWG Cat5 cable may only be good for half of that. At 0.75A/pin expect a lot of connector trouble . . . . .
You can forget about trying to make logic level signalling sharing a return with the power/ground work, especially if you are splitting pairs to get four H-bridge drive signals down two pairs! You'll probably need to opto-isolate at the motor end to overcome ground bounce, and may need to power the opto LEDs from >5v so there is enough drive to avoid the ground bounce modulating the LED intensity excessively.
If however you are using two signals, each on a separate pair so its got its own return, its somewhat easier as you no longer have to contend with ground bounce directly in the signal loop, though you are still likely to need either balanced line transmitters and receivers or opto isolation at the motor end.
However, with your motor's rated load current of 2A, and stall current of 20A, IMHO you are asking for trouble. You *may* get away with bucking a 48V supply over the cable to 12V at the motor end, which would give you about 4A for the motor + careful current limiting to avoid over-current during acceleration.