A majority of Britons support rejoining the European Union's single market even though that would mean the restoration of the free movement of workers from the bloc, according to a poll published on Wednesday.
Only if the UK wanted to fully rejoin the EU. Countries can join the European Economic Area without joining the EU, like Norway and Iceland did for example - the downside being they are bound by rules they don't have a right to vote on, even if in practice the EU always consults them.
They EFTA countries already stated they don't want the UK in there because it is too large and would basically ruin any influence the smaller nations have.