Could a Cuban Oil Disaster Spill Oil on Virginia's Coast?

With Cuba set to begin oil drilling, Anya Landau French blogs for the Christian Science Monitor that a Cuban oil spill could deliver disaster far beyond the Gulf of Mexico:
Now, after several delays, with a Chinese-built Italian oil rig, the Scarabeo 9, on its way to Cuba, drilling of the first of five exploratory wells in Cuban deep water is set to commence this December.

A spill from this first, easternmost exploratory well to be drilled by the Repsol consortium could be particularly damaging due to its location where the Gulf Stream exits the Gulf of Mexico for the Atlantic. Whereas the BP disaster was somewhat "contained" in the northern Gulf, Piñón tells me to "imagine a fan-shaped spill with the well as the axis." If something were to go wrong on Scarabeo 9, we could see and feel the effects of a major oil spill in Cuban deep water not just in Florida, but far up the Atlantic coast.
And as Fareed Zakaria writes, "the nearest and best experts on safety procedures and dealing with oil spills are all American, but we are forbidden by our laws from being involved in any way with Cuba." What could go wrong?