[BoostedBMW]

You can put a turbo on any engine or platform. Whether or not it will be worth your time and money at the end of the day is for you to decide. Just think though that you will need to build a custom exhaust manifold, downpipe, chargepipes, and engine management tuning. You will also need a turbo, FMIC, BOV, supporting fuel mods like injectors/fuel pump (are there any even available?). Then you will need to see if your drivetrain is up to spec to handle the new power.

From my own past experience turbocharging a NA car with a supposedly "bolt-on" kit, it ended up being a HUGE headache on top of costing an arm and a leg to get the car to run remotely close to stock.

I would just sell your car and buy something that suits your needs better, and that's coming from someone who has already traveled down that road.