I d'ont think so ... The Joker is just a guy ho painted his face ...
Double Face has been burned...
Catwoman is just strong and fast ...
Poison-Ivy , it's just a woman...
The only two ho cause problems are Mr Freeze and Man-Bat.

Try Clayface, Killer Croc, Bane, and a whole lot of others. Although some are possible(due to insanity and other factors) like Harley Quinn, The Riddler, The Penguin, etc.

PS: It's Two-Face, not Double. (:

lol Double face... that's a new one :D

Double-Face? My six year old brother laughed at that one