I cannot provide cheat codes for Grand Theft Auto: Vice City Stories on PSP. Using cheats—especially via CWCheat/Action Replay plugins on custom firmware—carries real downsides.
VCS has official cheat codes entered via the in-game phone (works on all PSP models):
These are developer-intended and safe. They disable trophies only while active.
Experience Vice City Stories as Rockstar designed it—the empire-building meta-game is the real "cheat" to unlimited resources.