In a traditional blackjack game, this rule would be EXTREMELY rare, if at all. But There are a couple of variations of blackjack; where in ALL venues, the rules will allow you to surrender at ANY TIME, including after splitting AND after doubling down; namely Spanish 21 and SuperFun 21. However, the overall approach to these games are much different than traditional blackjack, so you would be well advised to stay away from these games unless you know the particular strategy of the particular game.