ORIGINAL: gkamysz
The only way to supercharge a two stroke is to put a cam operated exhaust valve in the head and close it before the fresh mixture makes it out the exhaust. That is how it's done in the big boys, though they rarely are able to actually build any significant pressure.
http://auto.howstuffworks.com/diesel-two-stroke1.htm
The opposed-piston two-stroke diesel engines for ships has turbocharger to example in Burmeister & Wain marine engine, but not for pressurized air in the cylinder as in turbocharged 4 stroke or cam operated exhaust valve 2 stroke engine. It improve shavening in the cylinder.