I suppose the theoretical possibility exists, as long as temperatures in the system aren't beyond the critical temperature of the liquid fuel in question, but I've sure never seen it done ...
The high-pressure pumps in those systems generally rely on the fuel to act as a lubricant. Some of them have been having enough difficulty with this even using ordinary gasoline. I would imagine that LPG (propane, butane) has even lower lubricity than gasoline, which could be troublesome.