phat and slim can be downgraded using a pandora batery but brites cannot be. if you were at a lower psp firmware like 5.03 official you could use the chickhen files to boot into a HEN environment which you can then install 5.03 Gen-C which is custom firmware.
It depends on what type of PSP is it? Is it a PSP 1000, 2000 or 3000? If it is a 3000 then it cannot be downgraded, but if it is a 1000 (phat) 2000 (slim) and has had CFW before then it can be downgraded via Pandora battery and a Magic Memory stick (MMS). However Some PSP slim motherboards cannot be downgraded.