[PAR_WIG1350]

Is it the connector and wires that plug into the encoder that broke? if so, get a new wire, they are rather expensive given their simplicity, but maybe a team in you area could give you one if you ask.
On the other hand, if the connector on the encoder itself broke, that could be a problem. <R14>b prohibits modification of encoders and thus the only way you could use it would be by soldering it onto a protoboard and using it as a custom sensor which might not be legal anyways, it depends on whether or not <R5>d1 overrides <R14>b or if it is the other way around. even if it is legal, it is likely more trouble than it is worth, and you don't save much money even if you succeed. Protoboards cost nearly as much as a new encoder would.