Cousins, yes, breakfast can be delivered to the room. And, yes, there is a menu in the room. You complete it and place it outside your door before retiring. I believe the earliest time for delivery was 7:00, but I could be wrong on that.
We enjoy having breakfast delivered when we have an early excursion. It makes the morning much less hectic.
If you have a balcony, it is great to sit out there and have morning coffee. True luxury!