No. The Wii's USB ports do not support USB modems, Ethernet dongles, or phone tethering for internet.
Nintendo Wi-Fi Connection (official online) shut down **May 20, 2014**. Only Wiimmfi (homebrew, community server) restores online for ~50 games (Mario Kart Wii, Brawl, Pokémon). Requires Letterbomb/BlueBomb + Wiimmfi Patcher.
You cannot plug a 4G/5G dongle into the Wii. Use your home router.