There is for the PSP. Rockstar Games never released a port for this handheld console.

Many "PSP San Andreas" tutorials actually show the Android version of the game being played on a mobile device or a PC, not an actual PSP. Official GTA Games for PSP

Sometimes these versions include texture mods (like "Real Graphics") that optimize the game to run smoother, though original game mechanics are often altered to make this possible. Finding the "Best" GTA San Andreas PSP ROM (2026)

Files compressed into .CSO (Compressed ISO) format that run smoothly without severe loading lag.

If you want to play on a PSP/PPSSPP:

1. GTA: Vice City Stories / Liberty City Stories Total Conversions

Some highly compressed versions come with pre-installed saves (100% completion).