Homebrew ports and clones:

This is the closest you’ll get. The homebrew community has created that run on custom firmware (CFW). One notable example is Run Like Hell (a homebrew title). These are not official ISOs, but standalone apps packaged as EBOOT.PBP files.

If you want, I can:

For the uninitiated, ISO games refer to game files that are ripped from their original optical discs (in this case, UMDs for the PSP) and saved as a single ISO file. These files can then be played on a PSP using custom firmware or emulators. The world of ISO games is vast and often shrouded in mystery, with many gamers relying on these files to play classic games that are no longer commercially available.

The quest for is a wild goose chase. No official version exists, and unofficial clones are subpar. Instead of fighting the hardware, embrace what the PSP does best: original, high-octane action games that don’t need a touchscreen.