No, unfortunatley you can't. The rules require that the car you race is the one listed on the spec line. That's the 2.2 normally aspirated version.
There is a clause in the rulebook that allows you to use whloe components from different cars that might be on the same spec line.
For example, if all years GLH are listed, and one year had a better transmission, you could use it, but only if you used it in it's entirety. So you couldn't use certain gears from one year and others from another to create an assembly that was never available.
The GLH turbo had different components all over the car, as I recall, so you'll really need to find a standard GLH.
If you don't have it yet, the SCCA GCR book is really going to be a huge help in making or buying a race car. Call SCCA and order yourself one if you don't have it.
Also, if this is your first racecar, and you really want the GLH, try to find one already built and logbooked. It will save you hundreds of hours and the cost will be easliy half what you would spend building one. Or think about another car for the class that's built. Of course, knowing the rulebook, or havig a mentor that does will help you get a legal car. Insist that the seller is clear on the cars legality, and if you can, get him to agree to some form of restitution should there be major issues. Again, if you have a friend already in the game, seek their advice.
Just a thought.