Yes. Enable the Rescheduled template in Customer notifications and customize its message and variables (new date, time window, tracking link). When you reschedule a stop to a new day or route, you can send the updated notification so the customer isn't left guessing — and a Missed Delivery notice can go out automatically when a stop is marked Attempted.
Notifications work over email and SMS for both Shopify orders and imported or manual stops, across EasyRoutes for Shopify and EasyRoutes for Web.