Ezekiel was the first great prophet of the Exilic period of Hebrew history. Both he and Jeremiah came from priestly parentage, but there was a definite social distinction between them. While much of Jeremiah's work was centered in Jerusalem, he did not lose touch with his native village. In fact, he may well have been scorned because of his provincial background.
Ezekiel, on the other hand, was a member of the aristocratic priestly line of Zadok, which first came into prominence in the days of David and Solomon.
It is generally agreed that Jeremiah and Ezekiel were contemporaries and that both spent much of their time in Jerusalem before Ezekiel went with the captives to Babylon, sharing an intense interest in the affairs of their beloved temple and the problems of Jerusalem and its people. Though there seems no evidence to prove it, one might naturally assume they would have met.