If its an aftermarket HU yeah you would just have to run wire from the HU to the door unless the stock HU had the wires for them which I doubt because most don't because of the amp. I dont know the bose system but if the impedance of the front speakers is out of the range of the HU you would have to replace them with suitable replacements.

Or you would drop all new door speakers and 6x9s and a 4ch amp and say bye bye to the bose system.

Sent from the Milky Way