YES. If you have synced your iPhone with iTunes on computer, an iTunes Data recovery program called Backuptrans iTunes Backup Extractor must be a good choice to help you recover iPhone SMS Messages from iTunes Backup files. Unlike other iTunes data recovery programs(that can only extract messages from iTunes backup on computer), Backuptrans iTunes Backup Extractor supports Messages restoring also. It provides an easy way to restore SMS Messages from iTunes Backup back to your iPhone directly. Recovering Messages from both encrypted and non-encrypted iTunes Backup are supported.
How to do it? That's simple. Run Backuptrans iTunes Backup Extractor on computer and the software will scan and detect all iTunes backup files on your computer automatically. You can simply choose an iTunes Backup to load. After you can see your deleted messages, plug in your iPhone to computer via USB and then click "Restore SMS to Device" button. That is it. Please refer to this detail tutorial on how to recover SMS from iPhone Backup to your iPhone.
Note: If you are using Mac and want to recover Messages from Backups on Mac computer, please download Backuptrans iTunes Backup Extractor for Mac to use.