No.

They don't grasp irony, because they don't even have the same basic understanding of the world in a way that most people do.

If you have a red ball in front of you, and a blue ball in front of you, you see two different balls that are effectively the same except for color.

A Leftist sees two balls that are extensions of some greater collectivist power dynamic, so red balls and blue balls have entirely different ways they should even be judged or examples. If we associate Blue with Democrats, the ball is a happy toy that is good. Even if it is used as a murder weapon to bludgeon an infant to death. If we associate Red with Trump, then the ball is a terrorist bomb, and anyone approaching it or holding it should be killed. Even if it is a small child, because the influence of the alt-right has poisoned the ball.

There is no way to process irony when you can't even grasp the concept of similar things due to a focus on abstract power dynamics.