No. Xbox 360 (PowerPC tri-core, custom ATI GPU, proprietary OS) and Nintendo platforms (ARM/PowerPC, different GPUs, signed code) are fundamentally incompatible. You cannot run Wii, DS, 3DS, or Switch games on Xbox 360.
Multiplatform titles released on both systems—separate ports, not the Nintendo version running on Xbox:
Want Nintendo games? Buy Nintendo hardware. Want Xbox games? Buy Xbox. Emulation on PC is the only crossover—and only with legally dumped games.