Directly? No. Original Wii has no USB host stack for Bluetooth, no Bluetooth radio, and its proprietary "Wii Remote" protocol (broadcast PID/VID 0x057E/0x0306) is not standard HID.
Verdict: For authentic Wii play, use Wii Remote (+ MotionPlus) or GameCube controller. For modern controller comfort, buy a Mayflash Magic-NS. Don't waste money on generic BT dongles — they won't enumerate.