Yes! The majority of hotel room reservations are fully refundable if you cancel before the hotel's cancellation deadline, which is often 24 or 48 hours before your arrival date. If you booked a non-refundable reservation, it may still be possible to cancel it and receive a refund within a 24-hour period of booking. Put your dates in and click on "Search", then you can filter by "fully refundable" to view the best options available near Lady Liberty.