Plenty of poor Greeks used the bow, as well as the sling and javelin, but they weren't part of the warrior-aristocracy who scorned the bow. They'd feature amongst the rarely-mentioned psiloi supporting the heavy infantry and cavalry.

Furthermore, the Kretans were famous proponents of the bow, likely due to their predilections for internecine strife, banditry and piracy. A bow is a very good weapon for a raider.

The Athenians usually got their archer-marines from the Skythians and steppe peoples, though.