No they can't. If you can't do anything to Nami for 11 hours, you shouldn't even be put in the same sentence as Doflamingo.
If it was Katakuri or Doflamingo they would have levelled Nami in a matter of seconds
Stop comparing awakened CoC users to randos like Cracker, whose biggest cutting feat is lopping off King Baum's head.
Fuck even Zoro would have levelled Nami with an air slash.