No. Star Wars: Republic Commando (2005) was released on **Xbox** and **Windows PC** only.
The GameCube received a different squad-based tactical shooter set in the same era:
Republic Commando was developed by LucasArts for Xbox/PC using the Unreal Engine 2.x. The GameCube’s limited disc capacity (1.4GB) and different architecture made a port difficult, and LucasArts prioritized Xbox/PC.
You can play the Xbox version on Xbox 360 (Backward Compatible) and Xbox One/Series (via BC). The PC version (Steam/GOG) supports modern resolutions, mods, and mouse/keyboard — widely considered the definitive version.