In Paper Mario: The Thousand-Year Door, while it is not explicitly stated that you can fast travel, there is a way to do this in the game.

Game developer Nick Metzler posted a video sharing his 'psychological tip' to winning rock, paper, scissors nearly every time.

Looking to try your luck at Pianta Parlor, but can't get your hands on a Member's Card? Here's how to snag one in Paper Mario: The Thousand-Year Door.