If you delete a file, it's not gone forever, it's only marked to be deleted and may be overwritten by any data on the card. The corruption however, makes things worse, because the file ain't what it was before, thus programs might not recognize it as a valid file. Most file recovery programs can retrieve deleted files, and sometimes corrupt files, the biggest drawbacks of these programs are that they usually only work with common file types, like jpegs or word docs. It's not impossible to retrieve the data, however, if you want to do it for free, it will cost you a lot of time and effort to retrieve the data and piece it back together. you can also contact a company that will retrieve your data, however, the prices can be insane, especially for a file as small as a save file.
tl;dr Not impossible, but will cost you either a lot of time, or a lot of money
