Almost anything is possible, but you really don't want to do that. Apart for losing ABS and traction/AdvanceTrac functions, the rest of the car needs the wheel speed information that the ABS module provides. Right now, you are in one of the ETC failsafe modes all the time, for example.
Anyway, it could be just as cheap to fix it correctly, as it would be to rig it in some ridiculous way. You may be able to get an ABS module and as much of the harness as you need for $20 or so at you local pick-n-pull junkyard. I know there are some down here on the coast usually. In your case, you really need the hydraulic unit too (has the pump motor in it), still it could be less then $50 total.