Of course not.  Our hardware makes nightly backups, so while we could restore a backup from the day before, we are not able to restore a single file, for example, if it were to accidentally be deleted.  This backup limitation is a general industry standard. 
 
This is why we urge you to purchase BackupBuddy (which Short Hills Design uses on every website including DentalWPHosting.com.) so that you can restore timely backups if needed.