Yes! You'll find that most hotel room reservations are refundable provided that you cancel before the hotel's cancellation deadline, which often is within 24-48 hours of your scheduled arrival. If your reservation is non-refundable, you may still be able to cancel and be given a refund within a 24-hour period of booking. Enter your dates, click on "Search", then use the "fully refundable" filter to get top deals close to Central Park.