Yes, or even on a gas stove burner. Just reduce or turn off the lights above, so you can clearly see your colors. If you have cooking oil available pour some in a small container to use as your quench. Put that container near the burner where you are heating the turnscrew. When its red hot, check it with a magnet to see that it is also non-magnetic. If not keep heating the piece until the magnet is not attracted to it. That is usually when it gets an orange-yellow color just above red. Hold it at that stage to thoroughly heat the entire item. Then quickly quench it in the oil, swirling it around with your plyers or tongs. It will come out with a black scale on it. Use emery cloth, or sand paper to polish one side of the blade to white again, and then heat it until it turns a nice razor blade blue. Then remove it from the heat and let it cool slowly to room temperature. The cooking oil can be either thrown out, or poured back in the bottle. There is nothing wrong with it.
The second step is " Tempering " the blade so that it is not too hard for tough work. Left hard, it is as brittle as a file, and can easly break if dropped. Tempering draws back some of the tension caused by the quenching of the iron in the oil. Instead of being brittle, the iron becomes tough, and strong.
When you finish cooling the tool to room temperature, take a metal rod of good tool steel, and holding the turnscrew by some string, strike it to make it ring. If it rings like a bell, its probably not fully tempered. If it sounds instead like a " Tink ", rather than a " ting ", its okay.