Is the Cirrus SR22T a turbo-prop? Or does in just have a turbocharger like in a car?
Turboprop is generally short for Turbine-Propeller which is a propeller aircraft powered by a turbine engine.
In this case we can reference the SR22T's Specs from the website
Airframe & Powerplant
Continental TSIO-550-K 315 HP Turbocharged Engine