Howdy Daniel,
I would love to help you with this.
That should be very possible with a theme override. Are you comfortable with PHP? If so checkout our Themer’s Guide . Following its instructions override the-events-calendar-community-events/src/views/community/edit-event.php . On about line 58 you will see it falls in the Image upload section of the form. You can either delete this, or wrap it in a condition that hides it from specific folks, like anyone who does not have editor permissions. If you have never done anything like this before than checkout WordPress’ current_user_can() function. And there you go!
Does that all make sense? Will that work for you? Please let me know.
Cheers!
– Brook