Some years ago a speculation on this same subject held that the crew of a ship carrying wine might actually survive such a drift voyage. Why a wine ship? Most coastal vessels only carried a few days water/wine and fuel for cooking. A wine filled ship might provide the crew enough fluid to allow survial during a drift passage.

Does anyone recall that a NA canoe or two were found in the Azores, Portugal during Columbus' time?

A few Japanese survived drifting to North America in historic times so it would be possible.

But as Kat noted would it have had much effect?