I can't remember the title, but there is a great book of survival at sea by a guy whose sailboat sank in the eastern Atlantic during a race to the Caribbean, and survived 76 days in a lifeboat with only a few items, including a makeshift water purifier that he got some water from. A lot of what he got was from the fish though, particularly the eyes.
Anything floating or slow moving draws small fish seeking to hide, which eventually draws Dorado and other gamefish (and sharks). Also if you hang a light at night squid and flying fish will jump into the boat. Food isnt a problem, water is the most important thing to bring and you can fit enough to survive for a few weeks pretty easily.
Check out this light fishing. Unbelieveable...my kind of fishing!!