Since Hinokami Chronicles is not available for PPSSPP, here are the closest anime arena fighters you can play via files (legally if you own the original UMDs):
Demon Slayer: Hinokami Chronicles PPSSPP ISO is not an official standalone PSP release but is typically a modded version of Naruto Shippuden: Ultimate Ninja Impact Demon Slayer Hinokami Chronicles PPSSPP ISO Zip...
If you want the authentic Hinokami Chronicles experience on your phone, Since Hinokami Chronicles is not available for PPSSPP,