Can You Download WWE 13 on PSP? No — Never Released

No. WWE 13 was never released for PSP.

• Platforms: Only PS3, Xbox 360, and PC.
• Hardware limits: PSP lacks the processing power for WWE 13's engine.

Unofficial/pirated versions online are illegal and often contain malware.

PSP WWE Alternatives (Legal)

• WWE SmackDown vs. Raw 2011
• WWE SmackDown vs. Raw 2009
• WWE SmackDown vs. Raw 2008

Available on PlayStation Store or as physical UMDs.