Can I have a supercharger on 2019 Jetta

Why the heck would you supercharge a turbo engine? If you want more power look into increasing the boost a bit.

I've been shopping for the supercharger myself. I'm not certain if it's doable, but I'm researching as well. And to the previous answerer: Turbos are extremely effective in the high-end of a vehicle, but they provide less power in the low end. The ever-present turbo- lag does exist. A supercharger supplies power with the revolutions of the engine and is more efficient than a turbo. Turbos are simply cheaper and easier to produce and while some people like to brag about their top speed, some of us are more concerned with immediate power at the pedal.

With a turbo charger and an 8 speed i doubt a super charger would gain much. Sure in low gear for the first couple yards you might get a little more by burning the tires up but after that the turbo should be spooled up. By the time it shifts it is still in it's boost rpm range in the next gear.. Much more boost would simply blow the engine. If you need more for passing just use the manual shift option on the auto to be down a gear.Same with the manual. I have driven turbo charged engines for almost 50 years, In both diesel 18 wheelers and gas autos. They are not perfect but a good driver can coax amazing performance out of them. I am amazed what computers do today that we had to do by ear years ago. But still knowing your engine and how to use it can not be over looked. You still have to think a little. The computer can not figure out your about to make a quick passing move Go down a gear and have the turbo spooled in advance. No different than the old high performance non turbo v8s of the past. Had them myself had to get into the higher rpms to make a quick pass. By the way super chargers are gas hogs they take Horspower to turn them then put more air in the engine to produce more power.