Yes, surprisingly! This is the #1 coverage question.
- Wadi Rum: You will have strong 4G/LTE coverage at most of the main Bedouin tourist camps in the desert. You will lose signal in the deep, remote valleys, but you will be connected at your camp.
- Petra: You will have a strong signal at the entrance, through the Siq, and at The Treasury. The signal can be intermittent as you hike to The Monastery (Ad-Deir), but it works in most key areas.