No, they didn't, thats why you see so many areas occupied by the jewish immigrants
Didn't the arab muslims STEAL this land in 1949, and then closed it to non muslims against the UN charter and International law.
United Nations Partition Plan for Palestine - Wikipedia the free encyclopedia
The report of the majority of the Committee (CHAPTER VI) envisaged the division of Palestine into three parts: an Arab State, a Jewish State and the City of Jerusalem, linked by extraterritorial crossroads
The Jerusalem Corpus Separatum included Bethlehem and the surrounding areas.
So you see the land of the Corpus Seperatum was stolen by the arab muslims in 1949 as it was not destined to be solely arab muslim land