The principle is quite different. Deprived of fuel, the forest fire dies out. However, this is not quite right.
Tornadoes feed on the energy of intense updrafts, regions of rising, warm, moist air.
A possible alternative, which you suggest, would be to use precisely-placed energy from, say, a nuclear explosion to heat up the cold air so that there would be no reason for the warm air to move. I'm afraid your idea won't work. A deliberately-set fire whose purpose is to consume things required by an unwanted fire. All rights reserved.