ya mon,
Without wifi your best bet would be a lan adapter that plugs into your wii's usb ports.
i think nintendo makes a usb key that you can use as a wifi access point, but i haven't herd much of anything good about them and considering that most people that wanna brawl online upgrade to a lan adapter over wifi, I think that'd be your best option. As far as finding a lan adapter, most places selling wii's often have a lan adapter of some sorts. I have a third party one (intec i think) and it works fine, but nintendo brand ones are also available although i'm yet to see one. But i do live in Canada there eh, so we don't get all that schmancy original equipment stuff up here there ya-kno.
i'm sure they'd be available online as well.