Why would you? It would run like crap, laggy as hell and the stock ECU wouldn't know what is going on so it would run rich and pull timing. Not to mention you run the risk if something goes wrong and boost spikes to a proper amount for it that it can run efficiently (18+psi) you risk maxing out the injectors, maxing out the fuel pump, hitting airflow cut etc. Not saying it's going to kill something instantly but all in all its just not a good combination.
Obviously you can run it like that if you choose, hell you could run a T51R on the stock setup on 4psi, but is it going to be well setup and safe, no it is not. I ran my plenum and turbo upgrade on the stock ECU and it ran ok, did it run nicely and make power, no it did not and it's a fairly small turbo compared to a GT35, which the OP's number aint, it looks to be much larger atleast housing wise.