Actually, NO. Most remainers would agree that no-one knew, not even Cameron, not even Mrs May- or anyone in the Government. And that is the very point.
Some of us did try to listen to information from experts, like Prof Dougan from Liverpool Uni- even though all experts were dismissed as 'project fear' (all turning to be true, one by one, currently). And some of us avoide the lies and peddled by the tabloid Press and Farage and co, day in, day out. But none of us 'knew'- no-one.