Can you get a virus on a memory card?

Is it possible to get a virus on a PSP memory card? My daughter has a brand new (Christmas) PSP 3000. She downloads songs regularly from Lime Wire onto her card. Today, it just seemed to poop out. The PSP acknowledged that something was in there, but wouldn't read the card (kept saying that nothing was there). We were able to finally get it to work, but it said it reformatted the entire card, and therefore dumped all of her data; games and songs. Now it (the card) doesn't seem to work at all. So my questions are, could she have gotten a virus on the card.....can it be fixed.....and could this have damaged her PSP in any way? Any help would be greatly appreciated. Thanks!