Of course there are - think about how the car was built. As the body parts are assembled, the wiring harness (which is actually several harnesses plugged together) is placed in the assembled body parts. Who ever cut those wires did not do you any favors.

But you CAN do this I'd use solder and insulative heat shrink tubing to mate the ends - but you COULD use solder and tape or even those awful crimp connectors if you can be sure the area will remain dry and no corrosion is going to get started in the crimps.