Hi there and welcome
No sorry, not deleted logs, you can get the logs, but once they are deleted they are gone.
Even backups will not backup the actual log for this sorry
If you would like any additional information or assistance, please do not hesitate to let me know.
Else if you can take a second to rate my service by clicking one of the stars at the top of the screen then submit, that would be greatly appreciated.
This is possible, but you need to use a program which is not free, called wondershare
This you download here
Onto your computer
Once installed you connect your phone to your computer and allow it to scan the phone
Once done, if any text messages can be retrieve, this program will retrieve it.