Can You Play Games on the Wii Mii Channel? No.

The Mii Channel is solely for:

• Creating/editing Mii avatars.
• Managing your Mii library.
• Sharing Miis via WiiConnect24 (discontinued) or SD card.
• Viewing Miis in the Mii Plaza.

Games that use Miis (e.g., Wii Sports, Mario Kart Wii) pull them from your Mii library, but you launch those games from the Wii Menu, not the Mii Channel.