Yes. Eyetv will wake or even power on (start your mac) to do a recording schedule if it is asleep or powered off. Although this is an old article, it may give you an insight for future versions of the MacOS version (I know nothing about coding, so I apologize if I am just confused). This would be an awesome feature someday.
pmset and wakeorpoweron
https://developer.apple.com/legacy/library/documentation/Darwin/Reference/ManPages/man1/pmset.1.html
https://www.geniatech.eu/eyetv/faq/troubleshooting-events-are-not-set-in-the-power-manager-schedule/