Yes, it's possible to recover those files, but this only applies for the case where you left the system as it was without copying other files after the deletion. When you copy a file, it will override the cluster with the old data, thus making it impossible to restore the file in 100 % condition.
Install Recuva and select the drive where the files were stored. You can choose a filter as well, but if you don't know the file type, check All Files. After the results appear, use the Search field to narrow down the list.