Is There a Tekken 6 on PSP? (Game Sharing?)

No. Tekken 6 was never released on PSP.

Actual Releases

• Tekken 6 (Arcade, 2007) → PS3, Xbox 360 (2009)
• Tekken 6: Bloodline Rebellion (Arcade update, 2008)
• Tekken: Dark Resurrection (PSP, 2006) — Port of Tekken 5: Dark Resurrection. This is the PSP Tekken.

Tekken: Dark Resurrection (PSP) Features

• Ad‑Hoc Multiplayer: 2 players via local wireless (no internet).
• Game Sharing: Yes. Host loads game → Guest selects “Game Sharing” from XMB → Downloads temporary client (~8 MB) → Play 2P with one UMD.
• No Infrastructure (Online) Multiplayer.
• Extra characters (Lili, Dragunov, Armor King), stages, modes vs PS3 version.

Modern Play

• PPSSPP Emulator: Netplay (online) via built‑in Ad‑Hoc server (Pro Online / coldbird.net).
• PS3/Vita/PSP: Ad‑Hoc local only.

You likely mean Tekken: Dark Resurrection. It supports Game Sharing (1 UMD, 2 PSPs).