Could Achilles and King Leonidas have met?

yes achilles was real he was a great warriors and he i think he actually was the son of peleus a myrmidon in the greek army. i do not know his mother but she sure as hell wasnt a sea nymph. but anyways the reason they thought he was unbeatable was because how good he was at fighting, but anyways Leonidas couldnt have met because they lived in different timelines