Nothing is impossible, You may try Recuva, I was making my modpack and upon launching it, The launcher deleted it, I used Recuva to recover most of the files, You might be lucky and get all your files back
1) Download and Install Recuva
2) Go to your saves folder and create the exact folder name of your world, i.e: Your world name was Technic World, then create a folder called Technic World
3) Launch Recuva and follow on-screen instructions