Is there a way to use my pSX (emulator) memory card with a game I bought on PSN

I am in the middle of a game I am playing on pSX, but would like to play that same game on my PS3 or PSP. The question is, is there any way to move the save file from the emulated memory card to a virtual one on the PSP or PS3. I don't have a custom firmware on either device currently, but would putting one on my psp help?

I installed a cfw on my PSP. Now with CWCheat, I can move memory cards from pSX to the PSP and memory cards from the PSP to pSX. I have not tried going PSP to PS3 with the custom firmware, but I think it will work. In case any one is wondering, I am using 6.20 pro b5. It seems to have come with CWCheat preinstalled, but it may just have been there from the last firmware I was using (if that is possible). It is an extremely easy process, I will go more in depth if anyone wants more information.