The calculated distance (air line) between Ḩayy al Bunayyāt and Aqaba is approximately 172 miles respectively 276 kilometers.
By car or train, the actual journey to Aqaba is certainly longer, as only the direct route (as the crow flies) between Ḩayy al Bunayyāt and Aqaba has been calculated here.
Air line (approximately)
276 kilometers
149 nautical miles