Yes, you can restrict the number of deliveries for a delivery date. You can set the number of deliveries in the "Maximum Order Deliveries per day (based on per order)" field underOrder Delivery Date -> Delivery Schedule -> Edit Delivery Schedule -> Date Settings section on the admin side. A delivery date will be disabled for further deliveries in the calendar after this number of orders.

To restrict the number of deliveries based on the cart product quantities, you need to enable "Set the maximum number of deliveries per product:" setting under Order Delivery Date -> Settings -> Common Schedule Settings.