Step 1: A growing pollen tube shows three recognisable zones along its length: an apical clear zone rich in vesicles at the growing tip, a nuclear zone behind it carrying the vegetative nucleus and the generative cell/sperm cells, and a vacuolated zone toward the older, base region where callose plugs form.
Step 2: The pollen tube grows by tip growth, adding new wall material only at its apex, so it never has a meristematic zone the way root or shoot apices do.
Step 3: So the zone that does not exist in a pollen tube is the meristematic zone.