With no sailing experience, you won't be attractive crew (paid or unpaid) for any private vessel going across. Anyone who would take totally unqualified crew--if you found them--would either be an angel or the kind of fool you wouldn't be safe sailing with, so there's some caution to be used.
On a commercial
vessel you can't be taken as paid crew without working papers, so that's out. You MIGHT be able to get a ride as supercargo or a passenger on a cargo vessel. Some travel agencies book those rides, some cargo lines might also book you directly if you contact their office. Sometimes you can also get a ride from an air courier business, where they actually pay you (not much) to fly from here to there taking their bag as your baggage. Of course, you have to be traveling light to do that, and there's lots of competition, but you might try looking for "air courier" businesses, either online or locally. If they need a one-way hop...you're in.