Yes, you'll find most hotel bookings are fully refundable as long as you cancel prior to the hotel's cancellation deadline, which is often 24 or 48 hours before check in. If you have a reservation that's non-refundable, it might still be possible to cancel it and get a refund within a 24-hour period of booking. Add your dates and click on "Search", then you can use the "fully refundable" filter to get the best options available near Lords Table Mountain.