Yes, most room reservations are fully refundable provided that you cancel before the hotel's cancellation deadline, which is often 24 or 48 hours before your arrival date. If you have a non-refundable reservation, it might still be possible to cancel it and be given a refund within 24 hours of booking. Plug in your dates, click on "Search", then filter by "fully refundable" to view the best deals near People's Square.