According to the information of online connection for the wii. There exist the possibility of connecting a wii to a wii through wi-fi... If i am not mistaking, Battallion Wars 2 was using this feature during the playable demo... I remember that at IGN.com is a video showing multiplayer... so theoretically... is possible to use LAN on the Wii... but that depends entirely to the game... ( remember games like Kirby Air Ride and Mario Kart that could be played on lan.... )