Yes, members of the Hepatophyta, commonly known as liverworts, do have flagellated sperm. These sperm are produced in the male gametophyte and are essential for the sexual reproduction of these plants.
During the reproductive process, when conditions are favorable, the male gametophyte releases the flagellated sperm into the environment. The sperm then swim through water (which is a crucial requirement for the fertilization process) to reach the female archegonia, where they can fertilize the egg cell.
This reliance on water for reproduction is a characteristic feature of many non-vascular plants, including liverworts, which highlights their connection to aquatic environments for their life cycle. The presence of flagellated sperm allows for motility, crucial for ensuring that fertilization occurs in the moist habitats where these plants typically thrive.