You can play the original PS2 version using the AetherSX2 emulator on Android devices. You will need a legal backup (ISO file) of your Rumble Racing disc.
While the PSP can emulate PlayStation 1 games natively, it does not have the processing power to emulate PlayStation 2 games like Rumble Racing.
On a laptop or handheld PC (like a Steam Deck), the PCSX2 emulator provides the most stable way to play in high definition. Top PSP Alternatives to Rumble Racing
There is no official UMD or digital version of Rumble Racing in the PSP library .
However, for fans looking to experience similar high-octane action on a handheld device, Why You Can’t Directly "Download" Rumble Racing for PSP
The game remains a PS2 exclusive and has not been ported to modern storefronts or legacy handhelds. Best Ways to Play Rumble Racing on the Go