Yes. You spin up a bigger displacement, or turn the same displacement faster. With 2 TDCs per revolution, per rotor, it would be a great compressor.  NSU set a few speed records with a 26CC motor bike engine supercharged with another rotary acting as a compressor. The rotary was actually designed as a compressor and patented. Felix came across the drawings and modified them to have the housings rotating to get pure rotary motion. Todays engine is actually the original compressor layout.

 

Lynn E. Hanover

 

 

Lynn,
On the idea of using one rotor as a boost for the others.  Wouldn't it
have to either be larger, or be geared to run faster?  If you wanted to
run 5lbs of boost, for instance, that is a 1/3rd increase in air
pressure from ambient.  You couldn't just run the exhaust from the front
rotor into the rear, because the two are pumping the same volume.  You'd
the the front rotor to be 1/3rd wider so that it would displace that
much more air.