Minecraft has never been officially released on the Nintendo Wii. Not on disc, not on WiiWare, not with internet, not without. The hardware simply couldn't handle it—Java Edition's memory hunger and Bedrock's shader requirements exceed the Wii's 88 MB RAM and fixed-function GPU.
If you only have a Wii: enjoy Super Mario Galaxy, Xenoblade Chronicles, Metroid Prime Trilogy. The Wii's library is legendary—just not for Minecraft.