Often cited as the closest available official trucking experience on the handheld. MotorStorm Arctic Edge Features a "Big Rig" vehicle class for heavy-duty driving. 18 Wheeler: American Pro Trucker (PS2 to PSP ports/similarities):

The Myth of Euro Truck Simulator 2 on PSP: What You Need to Know If you’ve been scouring the web for a Euro Truck Simulator 2 (ETS2)

Some modders repurpose other PSP racing engines to look like trucks, but these are unofficial mods and not the actual ETS2 game. Remote Dashboards: Authentic projects like the ETS2 PSP Dashboard