|A place that stocks electronics supplies and component parts may have that type of cable, but a computer parts only place probably would not. |
E.g. If you're in the US or Canada, this company has many branch stores:
Yes, you could probably cut across the cable with sharp scissors and plug it in. Unplug whatever it is in first of course.
However, you need to take a look at the damaged end - you may need to bare the wires inside the cable there on one or both sides, and you may also need to carefully apply solder to the bare wires.
Or - contact whoever made what the cable is in - you may be able to order the identical thing already prepared.