No, and to be more specific, since the 11th is also Veteran's Day, Newegg won't be shipping until that following Monday, which means you probably won't see the game until Wednesday.
In regards to the Newegg Skyrim preorder promo back in September, they also had a BF3 promo in August, then another in early October. So, if we're lucky, there may be another Skyrim promo later this month or early November.