No.Castle Crashers has never been released on PlayStation Portable (PSP).
Official Platforms
Xbox 360 (XBLA, 2008)
PlayStation 3 (PSN, 2010)
PC (Steam, 2012)
Xbox One (Backward Compatible)
Nintendo Switch (2019)
PlayStation 4/5 (via PS3 version backward compat? No—PS4/5 require Castle Crashers Remastered? Actually, PS4/5 do not have a native port; only PS3 version via PS Now streaming previously. Correction: As of 2024, no native PS4/5 version exists. Switch/PC/Xbox are current.)
Why Not PSP?
Released 2008—PSP was declining (DS dominated).
Behemoth (dev) focused on XBLA/PSN/PC.
PSP hardware (333 MHz MIPS, 32/64MB RAM) would struggle with the game's physics, particle effects, and 4-player local co-op without severe downgrades.
Alternatives on PSP
Patapon series (Rhythm/Strategy — unique, charming)
Monster Hunter Freedom Unite (Co-op action RPG — deep, grindy)
God of War: Chains of Olympus / Ghost of Sparta (Hack & slash)
Daxter (Platformer)
Homebrew: Castle Crashers cannot be emulated well on PSP (architecture mismatch).