Of course.
he was telling Tom to take on shifts too as if there were plenty of NightShift Captaincies to go around.
Which is odd since Tom was a crap XO in Resolutions that Kim and the Ocampan got past him constantly to bother the Captain during nap time.
There's 3 shifts. If they had more crew they might switch to four like the Enterprise in season 6 after Jellico or Sisko in Season 5 at the request of Kira in season 5 as mentioned in the Ship.
Ds9 ran (probably the length of a day on Bajor?) on a 26 hour day, what about Enterprise and Voyager?
Still, two shifts is only 16 hours.
Then there's fallout from the Eugenics war to consider that these great great grandchildren of Superman as everywhere and every one pulling humanity up by it's bootstraps, that sleep might just be something other people do.