Well I guess it would be possible, but you do realize how hard that would be right ? Okay the enamel / insulation is placed on the wire as a liquid at high temps, then dried and hardened, so if you melt it, it'll just turn to a liquid, if you plan on using it for single wires that's fine, but if you're using it on braided wire, it won't work at all, since the material will just turn to a liquid and still be on the core of the braid.
I think it'd be easier just to find non-insulated wire.