My hb had a 1 night stand on nov. 27 baby was born june 27 baby's records show he was a 34 week (fetus ) baby. any chance of it bein his.

Maybe: If the baby's mother conceived on nov 27th, the due date for a term pregnancy would have been around august 20th. A term pregnancy is generally 40ish weeks. If the baby was said to be 34 weeks on june 27th, meaning the baby was 6 weeks early, this would suggest conception date closer to nov 12. Dating is not exact, so still possible, especially with only a 2 week difference.