That is correct. But it does not mean that the State of Israel was created by them. They only slightly relaxed the control of Jewish migration from Europe, never promoted or asisted the idea. They were still resisting the Zionist pressure until the bombing of the hotel when they finally gave up. And that wasn't the end of it. They fought and won the war against the Arabs.
Approving or disapproving of Zionism is one thing. Ascribing its successes to European governments is something else.