Hi Daniel -
Very sorry to see that damage. Just had my driver's side mirror knocked off which left me with a $450 repair! Who did it? Nobody's owning up to it.
For your image, there just isn't enough "information" to bring back the number. With our exposure to all the CSI-type shows we see, they bring back license plates with incredible magic.
The only magic is in the television show unfortunately.
Please be wary of any scams that might tell you otherwise. It's an unfortunate accident. But there's only so much these programs can do.