Yes, most room reservations are fully refundable provided that you cancel prior to the accommodation's cancellation deadline, which is often 24 or 48 hours before your scheduled arrival. If you booked a non-refundable reservation, you might be able to cancel it and be given a refund within 24 hours of your booking. Plug in your dates, click on "Search", then you can filter by "fully refundable" to get the best options available near Shiprock.