Yes, you can have the cut-off time for the delivery of the same day in Magento delivery date extension. Follow the below instructions:
Login to Backend
Go to Stores ➤ Configurations ➤ AppJetty ➤ Delivery Date, you will land on the “Configuration” page. Now scroll down to the “Delivery Date Related Configuration” section and do the following configurations:
Enable Cut Off time: Select Yes to enable the cut-off time. Cut-off time refers to the end time the order is allowed to be placed to count it for that day’s order; after the configured cut-off time then the order will be considered for the next day.
Disable same day delivery after (Cut-off time): Set the time after which you want same-day delivery to be disabled.
Enable product wise cut off: Select Yes to enable the cut-off time product wise. Cut-off will be considered on the product level for checkout, cart, and product page.
After all the configuration, click on the “Save Config” button to save the configurations.