Very much so, just wiring the instrument cluster would be the biggest concern. Add'l info: there is also a 2.4 non turbo engine, and it would also appear that the aforementioned 2.0 is the same engine in the Cobalt SS and HHR SS, as per ebay auction 130586906920.
I, for one, in order to increase gas mileage would strongly consider a 2.0L w/a 5MT, especially since there are aftermarket parts to boost the power of the 2.0L.