Yes! The majority of hotel room reservations are refundable provided that you cancel before the accommodation's cancellation deadline, which in most cases is within 24 or 48 hours of your scheduled arrival. If your reservation is non-refundable, you might be able to cancel it and be given a refund within a 24-hour period of your booking. Put your dates in and click on "Search", then filter by "fully refundable" to review the best options available near White Mountains National Park.