The Impala is a front wheel drive (a real piece of crap system) and the problem that I see is that the front wheel drive hardware will break under the 400 to 500 hp of the Corvette engine. Both cars use the small block GM V8 so the engine should fit. I'm not sure if the Impala front wheel drive transmission will bolt up to the Corvette block, but am very sure that you may be taxing the ability of the Impala's transmission to withstand the power. Another big problem will be actually getting the hp and torque of the '08 Vette engine to the ground.
Here's a perfect example of what can be done with the right amount of cash flow; http://images17.fotki.com/v4/photos/1/12867/113337/Isettavi-vi.jpg?1024903707