I've skinned and quartered a few deer & hogs on the ground, but it wasent by choice. Once I skinned the animal it was kind of easy after that. The skin acted like a tarp which kept the meat from getting dirty. Its a real pain in the butt to clean deer/hogs this way, but it can be done.

Normally when I shoot a deer or hog, I will load it in the truck or on the 6 wheeler, then take it back to the barns where I will gut it. Most of the time I will let the deer hang over night, then get up in the morning and skin/quarter it up. Its alot easier to hang the deer then cleaning it on the ground.