The "Karolina" may handle this route
The Split-Bol-Jelsa catamaran runs all year. Unfortunately, because of the timing, the connection is useless for those who want to make a day trip from Split to Hvar or Jelsa. The catamaran is designed to bring islanders in to work in Split, not tourists to the islands. There are more conveniently timed catamarans to Hvar and Brac islands such as the Split-Milna-Hvar line or the seasonal Split-Brac-Hvar-Korcula-Dubrovnik catamaran. See more below.
Without a car, it may be easiest to take a tour to Hvar Island. Some tours take in Bol as well. Excursions are available from Split, Dubrovnik and Korcula.
This Split-Bol-Jelsa catamaran is run by Jadrolinija. You can buy tickets online. Or, on the day of departure you can buy your ticket at a Jadrolinija stall on one of the islands or in Split.