Could Bismarck have encountered USS New York?

Would Bismarck have fought USS New York if she had continued on the course suggested in the question?

Possibly, but the proposed meeting requires an extended route and unusual movements by both ships.

The answer accepts a fight as possible if the two ships actually meet. It questions how readily the encounter would arise. Their routes would need to develop in unusual ways, so the meeting is conditional rather than an inevitable sequel to Hood's loss.