Nope.
Using heat alone would involve temperatures that would cause the engine to become a pile of glowing liquid. Using electrolysis is no answer either- you'd be converting the chemical energy of the gasoline into electricity, which would then convert the water to hydrogen and oxygen, with huge efficiency losses all along the way.

Tell him to get a smaller car and not speed.
( The Resident Loon Not a demographic. Do not measure., Sun 15 Jan 2012, 1:20, Reply)