Answer:
Well, no, since cream cheese frosting has a lot of cream cheese in it.
Could you simulate it? Hmm. you'd need something to give it the cheesy tang. Some sour cream might do it, but too much and it would be sloppy and too soft. You need the firmness.
There may be a way to simulate it using well strained yogourt. If you put plan yogurt in a coffee filter in the fridge for many hours it will drain and thicken like cheese. Greek or balkan yogurt is thicker to start and might work.