Can a generator be used in conjunction with batteries to power an electric motor for making a vehicle move?

The generator(s) could be run off an axle/drive shaft of the same vehicle to extend the range from 150 miles out to maybe 500+ miles without having to stop for a recharge. If it isn't possible to power generators off the drive shaft or axle, then could a tiny diesel motor be used to run the generator. This would be used on a vehicle the size of an average family car or small pick-up