This is a tricky one, but I’m looking into this with the team now. Fulfillment statuses and dates are pulled in with the Orders with Line Items. Make sure you’re set to pull in all columns as well:
As for the delivery date, I haven’t yet found where it lives in Shopify’s API. Hypothetically, you could reference the Updated At column for only orders marked as Delivered in their Fulfillments: Shipment Status column, but Shopify advises against using the Updated At field this way because there are a handful of other reasons it could change. I’ll keep looking around!
I have found something in the Shopify documentation called DeliveredAt but I’m not sure if it’s exactly what I’m looking for. Trying to find more info on it.