Ultimately, yes, but it got off to a rough start. Non-Jews who lived in Judah because of the Assyrian prisoner-of-war relocation policy tried to stop the building by bribing officials, and by spreading rumors about the nature of the Jewish religion. King Artaxerxes of Persia believed the rumors, and had the rebuilding stopped. Building did not resume until around 520 B.C.E., when Darius became king of Persia. Building was completed around 515 B.C.E.