Older. And not just Greece. Egypt played a strong role in boxing around 1300 BC. This is a picture of a boxing match for a pharoah, found in the Tomb of Merya, of the 18th Egyptian Dynasty. Talk about lineage. If I were to guess I'd say boxing and wrestling as skills/arts are as old as most hunter-gatherer skills, prehistoric and primeval. Way older than recorded history. I could be wrong but there they are, boxing on this piece of clay. And in Roman, Cretean artwork. Even Chinese artwork! Boxers, boxers everywhere!