Was physical fitness a concern for upper class citizens in ancient times?

by PencilPusher101

I understand that the average civilian in Ancient Rome or Greece probably was more concerned with surviving and probably had lots of exercise simply working day-to-day. But did upper class citizens ever concern themselves with maintaining physical fitness, or was there not a need for that?

Vespertine

These links should not preclude further responses, but these earlier answers by u/Iphikrates about Ancient Greece will be of interest:

Did Socrates even lift?
[Gym rat here. How ripped did ancient Greeks get?] (https://www.reddit.com/r/AskHistorians/comments/46guc3/gym_rat_here_how_ripped_did_ancient_greeks_get/)