The stock bottom end can handle up to 10-11psi for a while.
The stock fuel system will not be able to go over 3-4psi.
There are no kits out there right now. TMATurbo is getting ready to make kits again sometime this summer. I believe his basic street kit is $3,900.
There are several turbo cars on these boards , shinerstang and Shine1stang, that are pushing well over 600rwhp.
Short answer is, yes you can turbo the car. The stock bottom end is fairly tough and no one has cracked a stock 3.8L block on higher boost yet.