Yes, only in 1 part of the plate boundary at a time, filling the gap as the 2 plates move away from each other. Where do most earthquakes occur at divergent boundaries? Where divergent boundaries have many perpendicular transform faults (fractures) as they spread apart in chunks.
Divergent plate boundaries: spreading-center volcanism Spreading-center volcanism occurs at rift-zones, where two plates are moving apart from each other. Most commonly this is the case at mid-oceanic ridges, where two oceanic plates move apart. The (developing) boundary between two spreading continental plates is known as a continental rift.