Not sure if this would suit you, but in BookThatApp this is possible using the 'runsheet' report to filter by delivery date: https://apps.shopify.com/bookthatapp
You can create set up preset filters to further refine the query based on tags (e.g. 'Packed', 'Posted' etc.)
I am selling veggies and not services, will the app work for products rather than booking?
Yes. The way it works is a Delivery product is added to the cart automatically. That is, the delivery is being booked, not the veggies per se.
If you interested in getting it going please feel free to get in touch with me directly (gavin @ zetya.com) and I'll be happy to get it set up for you.