This plugin allows the customers to choose a delivery date and time on the WooCommerce product page. The Delivery Date and time will be displayed while viewing the order.

Powerful Extension to Schedule Delivery Dates for your WooCommerce Products
You can assign a ‘Delivery charge’ for any or all of the 7 week days. This extends to specific dates too. You can assign delivery charges for every specific date that is added. You can also limit same day & next day deliveries with a cut-off time.