If you built a coal gasifier, or maybe used a powdered/pelletized form of coal, I could see it being plausible. (but still dumb)

Having just returned from a week at the Experimental Aircraft Association’s yearly gathering, I’m kind of interested in using up some of my employer’s time to see if I can make it work, at least on paper. Luckily I even have a budget line available for silly studies like this.