Absolutely not. Xbox 360 and PlayStation 2 are **fundamentally incompatible** — different CPU architecture, GPU, OS, media format, encryption, and SDK.
| Aspect | Xbox 360 | PlayStation 2 |
|---|---|---|
| CPU | 3× PowerPC (Xenon) @ 3.2 GHz, in-order | MIPS EE @ 294/299 MHz + VU0/VU1 |
| GPU | ATI Xenos (Unified Shader, 500 MHz) | GS (Pixel/Vertex pipes, 147 MHz) |
| RAM | 512 MB GDDR3 Unified | 32 MB RDRAM + 4 MB eDRAM (GS) |
| Media | DVD-DL (7.8 GB), proprietary format | DVD-ROM (4.7 GB) / CD-ROM, different FS |
| OS | Xbox Kernel (NT-based) | PS2 BIOS + Game OS (bare metal) |
| Encryption | Per-disc keys, hypervisor | Wobble groove, mechacon |
If you want Xbox 360 games: Buy Xbox 360 / Xbox One / Series X|S / PC (many ports).
If you want PS2 games: Buy PS2 / PS3 (Fat BC) / PS4/5 (Classics) / PC (PCSX2).