No. The Xbox 360 **cannot** play original Xbox game discs natively.
Microsoft released a **compatibility list (~465 titles)** via software emulator updates (2005–2007). **You must have an Official Xbox 360 Hard Drive** (not Memory Unit) for the emulator partition.
Xbox One / Series X|S play **hundreds** of Xbox 360 *and* Original Xbox games via advanced emulation (with Auto HDR, FPS Boost, 4K). This is the best way to play original Xbox games today.