Yes you can, I've done it successfully before.
Not sure if links are allowed here, search Google for "ehow.com/how_6785953"
There may be free downloads elsewhere that do the same thing. Mine came with an SD card that I bought years ago.
Deleted files are not actually deleted, they are just hidden and flagged to be overwritten when needed, so do not write new information to the card.
You will need an SD card reader or slot in your computer, good luck.