turbo can be done custom, but the supercharger is a pain to try to get to work on a VVT-I head because of the way it works.
When VVT-I activates, it opens the intake valve earlier right before the exhaust valve closes so that both valves are open for a short amount of time. The exhaust air going out the exhaust valve creates a vacuum effect that helps suck in more air through the intake valve when the engine is naturally aspirated. Once you put a supercharger on, the engine doesn't need the vacuum effect, and the result of having VVT-I activate would be that the boost charge air going in through the intake port would go straight out the exhaust port due to the valve overlap
With a turbo, the boost charge would still go through the exhaust port, but since there's a higher backpressure from having the turbo already, the effect isnt as bad and it would actually work.
this video shows what im referring to