Short answer: no. The ancient Greek games were open mostly to only male Greek citizens. Meaning no slaves, no females(unless you were a horse owner), foreigner(until the invasion of Romein 146 BCE, then Romans could join), etc. Anyone that wasn't a citizen did not get to participate.

Source: http://www.penn.museum/sites/olympics/olympicfaqs.shtml Source: http://www.olympic.org/Documents/Reference_documents_Factsheets/The_Olympic_Games_of_the_Antiquity.pdf