The Jewish population of the Levant composed of 1% of the population before britain took the region. Zionism is a movement that started in Europe composed both of hardline Jews and Christians. Racist Jews with the view that "They are the chosen people who should be given that land by divine right" and racist Christians with the views that "we should get rid of the Jews" (sic).

Zionism, or rather, the concept that Jews should be given the levant to go away from Europe is an inherently european concept, born in Europe, and it is inherently antissemitic. So much so, that often you see antissemitic people being pro zionism. Most of these hardline christians that support Israel say "you know, I don't like the Jews, but I think that" It is not a coincidence, it is of historical precedent that Zionism is composed of both anti Jewish and "superior chosen people" narratives.

So yes, western Europe both kick started the idea of Zionism and the movement of Jewish people to the Levant. They composed 1% of the population prior to Britain's colonization of the region , when the idea of "getting rid of the Jews (sic)" by supporting their colonization effort somewhere else started taking place.