While some games may have hidden or "easter egg" debug menus, they are typically not documented and can be difficult to find. There is no known way to access such a menu in Super Monkey Ball Deluxe.
If you are looking for ways to modify the game, you might consider exploring fan-made tools or mods that exist for the game. However, these are not officially sanctioned by Sega and may come with risks associated with modifying your game files.