Absolutely not. Xbox 360 (PowerPC tri-core 3.2 GHz, custom ATI GPU, 512 MB GDDR3) and PSP (MIPS 333 MHz, 32 MB RAM, 2 MB VRAM) are architecturally incompatible by orders of magnitude.
Bottom Line: PSP is a 2004 handheld. Xbox 360 is a 2005 home console. They share zero DNA. Move on.