Sure!
You can use the advanced title/content fields for that. There is a date format argument available as well.
For the events manager use the _event_start_date and/or the _event_end_date pseudo variables. For example, using this in the advanced description field will display the event start date like “Starts: 2024 Nov, 01, Fr”:
Starts: {_event_start_date date_format="Y M, d, D"}