Not on my 2005. Inside the mirror assembly the cable goes 3 or 4 different ways and cannot be disconnected. I tried to take the one apart that I removed just to see if I would have spare parts. It looks like it will be easier to buy another from a salavage yard than to try and get anything out of the old one.
The wiring harness is attached to the door frame and the harness has a locking tab you need to press when you disconnect it. Really, once you have the instructions to pop the door panel, the added work only takes a couple minutes.