Hi Konstantina! Love hearing this question from you because this is something we're exploring: increasing discovery of events! Today, we do show events on the right rail of a group.
That said, reading your message: it seems that you want to include general "events" like days off, etc. can you clarify the use cases? Are you interested in promoting Events that your Leadership is hosting (like a Townhall) or to call out things like "days off" -> or both?
Where we could see value in this is connecting events from a SharePoint calendar (modern hub site or connect 365 group). Not all events would leverage 'Live Events' technology. Example: ERG is hosting a webinar and wants to promote sign up, details and reminders in Yammer group.