Would a steam engine make more sense? Then you could run it on anything.
The Doble steam cars are at least on the cusp of practical.
(they are very high maintenance compared to modern cars)
No power takeoff from the turbine in this case, of course, but the principle is sound.
The main problem is refueling, because the combustion chamber has a higher pressure. With a liquid fuel, you just spray it in at pressure, but with wood that isn't possible.