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