If it is a glow engine, the oil in the fuel can lubricate the internals just fine. My 5 cylinder Kinner runs on glow and gets plenty of oil inside, almost too much.
While running, the oil in the fuel migrates past the rings and lubricates all the internal pieces, and the left over drips oil at about 1 drop every three seconds from the crankcase drain. It even lubes the exposed valve guides nicely.
If run on gasoline, and spark, probably needs pressurized oiling. Early engines used pressurized oil that was pumped in a few drops at a time through a needle valve, then thrown out or burned off to maintain the oil level in the troughs for the connecting rod dippers. The crankcase ventilator assisted in the pumping action.
Splash lubrication works well in the small engines as well.
The geared pump probably would be the most reliable.