Answer:
From what I understand of the matter it is physically impossible for a hurricane formed on one hemisphere to continue on the other hemisphere as the Coriolis effect (not a force!) is directed in the opposite direction. By crossing the equator the hurricane would stop turning, and only if the conditions are right on the other side of the equator (or should I say Intertropical Convergence Zone?) a new hurricane could form from the released energy of the original hurricane. But as this is mostly (an educated?) guess I don't think it deserves to be an answer.