You can have forced induction with two-strokes if you use direct injection. It ends up being pretty efficient because you can blow all the exhaust out of the cylinders and have clean air for the next cycle. You also don't need to add oil to the fuel because you don't use the crankcase to pressurize the air/fuel charge. This type of engine is really common in construction equipment and (older) big trucks, semis, buses, etc. Some were even supercharged and turbocharged.