Can you retrieve iPhone deleted texts?

IF you have activated iCloud Messages they are gone. If they were in your last backup prior to deleting them you can restore your iPhone from that backup. You will lose any data added after the time/date of that backup. If they weren't backed up they are gone.

Restore your iPhone, iPad, or iPod touch from a backup - Apple Support

Hate to break it to you but, no you cannot.

Your very welcome. 🙂