Bed bug eggs are glued in place and bed bugs can hold on surprisingly well opposite a vacuum. Based on field experience it is doubtful that a significant amount of eggs would be successfully removed by vacuuming. But it is beneficial to use a vacuum to remove as many crawling bed bugs as possible as part of your bed bug management. So you can I vacuum up bedbug eggs, eggs are difficult to see or find. You might have better luck using a steamer.