I hope this answer doesn't come too late, but it can help someone else anyway ...
Yes, you can probably get your files back if your cPanel is configured for regular backups, which are the default settings (at least with my web host, Pickaweb).
- Log in to cPanel.
- Find Files> Backups
- Select the most recent backup where you know that your file / folder still exists.
- , .tar.gz( , .zip ).
- ( www.7-zip.org), ... , , !
: www.antropy.co.uk/blog/how-to-restore-accidentally-deleted-files-in-cpanel