The PSP used a format called UMD (Universal Media Disks) for games and movies that you would watch on the PSP console. As far as I know, no other device actually used this format. It is possible to back up PSP games to the PSP memory stick and even to a computer by connecting the PSP to a PC, but that aside the only way to read data from a UMD is on the PSP console itself. So I see using a PSP emulator as slightly different that using a PS2 emulator like PCSX2, for example, because that emulator runs the game straight from a legitimate copy of the game, and as far as I know that is not possible with PSP UMD games as the only hardware that could read them was the PSP itself. However, I have found that it is possible to run digitised UMD files through emulation without a working PSP, but issue here is you still need the ISO file of the game, and, again as far as I can tell, UMD back ups don't work that way, there are not in that format. I have to assume it's possible to convert UMD back ups so they can run on PC (otherwise piracy on PSP games wouldn't be thing at all) and I'll keep looking into that, but so far the only way I can find to run UMD games on a PC is to download said games ISO files from somewhere that almost certainly less than legal.
If anyone knows better and can offer more insight, please let me know. @kingpotato, I'll try an figure this out as quickly as possible, but rules on linking hosts of pirated software or instructions on how to bypass security on games is very clear on VGR.