You can fly *anything* on a PPL, provided that you have the appropriate type rating. And stay within the limits of your license, so you cannot get paid for the flight and have to pay at least an equal share of the direct costs of the flight.
However, the type rating exam for those kinds of aircraft are typically to ATPL standards. Which are kind of hard to achieve if you're just a fresh PPL without IR and ME experience.
Oh, and if the aircrafts POH or owners/operators AOC specifies that it's a multi-pilot aircraft, there may be other restrictions.