Is there a possible way to recover a backup that i deleted from iTunes?
You'll have to use a third party solution to attempt to recover that backup file. Third Party solutions usually don't work well, so if you do take a chance with it, you can keep that in mind.

EaseUS has a recovery option - https://www.easeus.com/file-recovery/recover-deleted-itunes-backup.html

If you are on a Mac and have a Time Machine backup, it keeps backups in this directory:

~/Library/Application Support/MobileSync/Backup