Sure, but it’ll feel nothing like the actual PSP.

It will be missing the haptics, the original display, the small UMD drive loading noises and vibrations – all that stuff was part of the experience as well.

For example, it took me a wrong time to realize why emulated Game Boy Color games felt so “off” until I learned that the original display had such an extremely narrow color gamut that mapping the GBC display output to full RGB is completely wrong. The same applies to the DMG and its shades-of-green (not grey!) display with its absurdly slow LCD ghosting that needs to be accurately emulated to see anything at all in a few games that made very clever use of the constraint as a feature.

There are some good shaders these days that try to approximate all that, but it’s still just that: An approximation.