No, not natively. The Wii (PowerPC Broadway, 729 MHz) and PS2 (MIPS Emotion Engine, 299 MHz + Vector Units) have **completely incompatible architectures**. The Wii cannot execute PS2 machine code.
| Method | How | Viability |
|---|---|---|
| Wii Homebrew + PS2 Emulator | Install Homebrew Channel → Run PCSX2-Wii (abandoned 2010 port) or DamonPS2 (Android port, not for Wii). | **Non-functional.** PCSX2-Wii never reached playable speeds (1–5 fps). Wii lacks RAM (88 MB) and GPU features for PS2 emulation. |
| Wii Linux + PCSX2 | Boot Linux (White Linux, GC-Linux) → Run PCSX2 Linux build. | **Theoretical only.** No working PS2 emulator on PPC Linux with Wii's specs. |
| External Hardware (HDMI Capture + Stream) | PS2 → Capture Card → PC → Stream to Wii browser? No browser video support. | Impossible. |
Verdict: The Wii is a **GameCube + Wii** machine. For PS2, use a PS2, PS3 (Fat), or PC. Don't waste time on Wii homebrew PS2 emulation — it does not exist in a usable form.