Although it’s widely known that the Allied armies had a variety of field cookers available to them, less is know about the German side. The short answer is yes. It appears that there were at least a couple of models available and like the Allied ones, they appear to have been private purchase. No doubt these were fueled by something simmliar to today’s Sterno stoves. Perhaps something similar can be rigged for living history purposes. Please note that the Esbit stoves that you always see either at WWII events or on Ebay were developed around the mid-1930s, after WWI.