Need for Speed: Most Wanted 2 (PSP) Multiplayer? No

No multiplayer in Need for Speed: Most Wanted 2 on PSP (model E1004 or any). It's single-player only.

Why

• PSP ad-hoc infrastructure was complex; EA focused resources on console/PC versions.
• Career mode (Blacklist, bounty, milestones) was the core design.

PSP Racing Games With Multiplayer

• Wipeout Pure / Pulse – Ad-hoc 8-player.
• Ridge Racer / Ridge Racer 2 – Ad-hoc 4-player.
• Gran Turismo (PSP) – Ad-hoc 4-player, drift lobby.
• Burnout Legends / Dominator – Ad-hoc 4-player.
• ModNation Racers – Ad-hoc + online (PSN).

If You Want NFS Multiplayer

• Need for Speed: Most Wanted (2005) on PS2/Xbox/PC – LAN/online.
• Need for Speed: Carbon / ProStreet / Undercover – PSP versions do have ad-hoc multiplayer.
• Modern NFS (Heat, Unbound) on PS4/5, Xbox, PC – full cross-play.