zerbo:
TC is only built for Intel x86-family CPUs, so no, it can't be simply installed on a Wii. I believe the Wii uses something like a MIPS processor, so no version of Linux built for PCs with Intel x86 (or directly compatible CPUs) will work on the Wii.
In principle, you could take the TC source code and build it for the Wii's processor and perhaps add drivers from another version of Linux. But you would need an appropriate cross-compiler and perhaps other tools. This would be a very advanced project. I expect that another version of linux has already been built for Wii, but I don't know any specific ones.
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Mike L.