No. Rockstar Games never coded GTA V for the PSP. Any link claiming this is 100% fake.
Search for: "GTA Vice City Stories GTA V Mod PPSSPP" Modders have converted the map of Los Santos into the Vice City Stories engine. You get GTA V textures, weapons, and radio stations, but with the 2006 gameplay. This is the legit "GTA V PPSSPP" experience. --- Gta V Ppsspp File Download Mediafire -
[Mediafire] GTA V ISO Mod for PPSSPP – Download & Setup Guide and radio stations
it is almost certainly a scam or a fan-made modification (mod) of an older game Rockstar Games never released an official version of Grand Theft Auto V --- Gta V Ppsspp File Download Mediafire -