Will There Ever Be a Ty the Tasmanian Tiger Game for PSP?

No. The PSP was discontinued in 2014, and the Ty franchise has been dormant since Ty the Tasmanian Tiger 3 (2005). No developer (Krome Studios or otherwise) has announced a PSP title.

Current Ways to Play Ty

• PS2 / GameCube / Xbox / PC – Original trilogy (GOG/Steam for PC).
• Ty the Tasmanian Tiger HD (2020) – Switch, PS4, Xbox One, PC.
• Ty 2 & 3 HD – Announced for modern platforms.

A new entry could happen on Switch/PS5/PC, but PSP is permanently off the table.