Normally not unless you have a handicap/disability that limits mobility significantly enough AND have special authorization through the licensing body. All states I know have laws that forbid the use of motorized (sometimes even pedal bikes) vehicles to actively hunt from. That doesn't mean you can't utilize them to get into and out of areas, or transport downed game but you can't have a loaded rifle in a moving vehicle OR shoot from the vehicle. Most states have laws that stipulate you have to be X number of yards from a roadway/travel way and you CAN'T shoot over a road.
So, if you're out elk hunting with your 4x4 ATV and see a nice bull out in the distance, you have to take your UNLOADED rifle out of the scabbard, move away from the ATV a distance and find the shot to take. The reasons for these laws are for fair chase, habitat retention and not "herding" animals using machines/vehicles. Most western states don't allow "party" hunting or game "drives" like what they might do in Wisconsin, Michigan, and some other states.
I can't address anything but here in the US and most of Canada, but most nations and hunters have a concept of fair chase and what should be ethical. Yeah, the old tiger drives in India or driving elephants in Africa would and should be frowned on these days.
For example, on a normal hunt for me, I'm up in the early morning, drive into my preferred spot and park my rig and walk into my intended location to actually hunt. And yeah, I know enough "road hunters" but that is sort of the antithesis of what I consider hunting to be.
EDIT: Some states allow for individuals to hunt in a coordinated manner as a group, BUT not using vehicles. I grew up out west and we just don't do it like that out here; I might have a hunting partner, but we don't have 7 people moving animals around and shooting one for the other person just isn't sporting either.