No, on average people died at much earlier ages, the key word here being average. A lot of the mortality was at very young ages. Once you lived past ~15 years of age you had a good chance to make it to 60-70+.
I've been reading a book on what happened to his empire once Alexander the great died, apparently the old battle scarred veterans that had been fighting for decades first for Philip then for Alexander all over the empire, all around 40-60 years of age at the time, some officers even around 70 or so, totally obliterated whatever army of raw recruits was sent against them. Literally the only people who could fight them were other veterans.
