Not really. The tv content alone is all in English, the books you buy are in English, the people you talk to are speaking English. In a way or another, they get English (I have two children and we speak Italian at home, they both know English).

By the way, something nobody mentioned, once your kid learns English in an English speaking country, your English gets better (assuming you are non-native). My daughter started correcting my pronunciation and it's getting way better