There are plenty of ferries that can take you from the port in Split to Hvar.
PLEASE NOTE: Hvar is the name of the town, but also the name of the island. There are other ports on the island so make sure you book your ferry to the right destination [it will be listed as "Hvar, Hvar" or "Hvar (Hvar)" on the booking websites].
You can use the timetable in the link below to check all the departure times from the various ferry companies. Make sure you book one of the direct ferries (should be about a 1 hour trip).