Pitfall! (Wii) Has No Kick or Punch — It's a Pure Platformer

No Combat Mechanics — Just Platforming

Pitfall! (Wii, 2009 / Pitfall: The Big Adventure) has no kick or punch mechanics. It's a pure platformer:

• Move: Wii Remote D-pad / Analog Stick (Nunchuk).
• Jump: A button.
• Whip Swing: Swing Wii Remote (motion) — primary traversal/attack.
• Roll: Z (Nunchuk) + direction.
• Interact: B button.

Wii Games With Actual Melee Combat

• The Legend of Zelda: Twilight Princess / Skyward Sword: Sword waggle, shield bash.
• Super Smash Bros. Brawl: Punches, kicks, specials via Remote+Nunchuk / Classic / GCN.
• Metroid Prime 3: Corruption: Aim/shoot (Remote), melee (Nunchuk thrust).
• Red Steel 2: Sword + gun combo, MotionPlus required.
• No More Heroes: Beam katana swings (Remote), wrestling moves.

If you want fist-fighting, Smash Bros. or No More Heroes deliver.