I think the answer is thought to be “yes, but when? A very very long time ago.”
This model suggests not quite. Nova Scotia shows close to Scotland but with some water between, 200 million years ago. But perhaps earlier than that?
This model also suggests not.
This model suggests yes, but many millions of years ago. It has Pangea starting to break apart 200 million years ago, at which point Europe and NA are unrecognizable. At 165 million years ago, the Atlantic starts cracking between them. At 155 million, another rift forms. At 140 million, more rifts and there may be no land bridge, or perhaps only a very northern one, at least according to this very rough and conjectural (I assume) map. At 130 million, it looks cut off by water. Assuming light blue means covered by water though shallower than dark blue. If only dark blue counts, it looks like you may have until 70 million years ago, or so. By 50 million, certainly an ocean of nope, by this model.