Duct leakage reduces the volume of conditioned air that reaches the rooms, but it does so by letting air escape along the way — it does not typically prevent the blower from moving air in the first place. A near-total loss of airflow at the vents, with the equipment still audibly running, points to a blockage at or inside the equipment rather than air escaping downstream in the ducts.
Once an equipment-side cause has been ruled out and normal airflow is restored, if delivered airflow at the registers still seems low relative to what the equipment is producing, a duct leakage test can determine whether leakage is separately reducing what reaches the rooms.