No. You need a boat, fuel, good weather, and lots of time, that's all.
As an interesting note, State waters generally reach out three miles from the shoreline. Federal waters go out 10. Anything more, and you're in international waters, and so... There is no governing agency to "certify" anyone for anything.
I can tell you, however, that going offshore even a few miles typically requires quite a bit of skill from the pilot... There's a lot to know and a lot can go wrong in a hurry. If you are asking this question about whether or not someone has to be a licensed captain to go 60 miles out, then... Well... Clearly you SHOULD go with someone who has some expertise on the subject... And a professional captain is a good place to start.
...Now, that's not saying that all captains are skillful, or that a boat pilot isn't skillful if they don't have a captain's license. I know a lot of people who have no certifications at all, and yet are the best boaters I know.
So to answer what I think you're really asking... No, don't go without someone who has done it before, and yes, 60 miles is a very long way out. Expect a six hour trip each way in most small vessels.
Can you not find a closer oil rig?
I recommend picking up a charter - that's the easiest way I know of to make your dream a reality.
