Brown chops with oil in large skillet on high heat.Reduce heat to medium-high; cook 5 minutes on each side or until cooked through, adding onions after the first 5 minutes. Remove chops from skillet, keep onions in skillet; cover chops to keep warm.
Add carrots to onions and the water to the skillet; stir and bring to a boil. Boil 4 minutes. Add stuffing mix; stir just until moistened.
Return chops to skillet; sprinkle with cheese. Reduce heat to low; cover. Cook 8 minutes more or until cheese is melted.