Yes you can. There are 2 excellent choices for deep sea or near shore fishing.
Captain Mike Holmes – http://molokaifishing.com has a gazillion years of fishing and ocean experience. His boat is a Force 27 called Ahi.
Captain Joe Reich – http://www.alycecfishing.com specializes in deep sea charters on his boat the Alyce C.
Both boats are moored at the Kaunakakai harbor.