Most likely, yes. EasyRoutes doesn't depend on a specific app — it reads the delivery date and time window from your Shopify orders. As long as your date picker writes that data into order attributes or order tags in a recognized format (for example, a "Delivery Date" attribute or a "8:00 AM - 12:00 PM" time value), it will appear in EasyRoutes. If it doesn't show up, enable the Order Tags and Order Attributes columns to view the raw data, or reach out to support.
See: Supported delivery date apps · How EasyRoutes works with your Shopify setup and third-party apps