No—you cannot flat tow a Hyundai Santa Cruz of any model year, trim, or drivetrain. The platform of the Hyundai Santa Cruz—including the drivetrain and transmission—can be severely damaged if you attempt to flat tow the vehicle.
If you have the front-wheel-drive Santa Cruz, you can use a two-wheel dolly, provided that the front wheels are off the ground. For the all-wheel-drive Santa Cruz, only flatbed trailering is possible. (This also works for the front-wheel-drive version.) Consult pages 8 to 24 of your owner’s manual (2022) to find out more about proper trailering.