You order a pizza from A1-Discount Pizza Delivers. They are incredibly cheap, but the pizza quality leaves something to be desired. The pizza you get is completely deformed (not anything close to a circle, although it does not have any sharp corners at least). What's more, there is only a single piece of pepperoni, placed somewhere on the pizza.
Is it possible to divide the pizza between you and your roommate with a single cut through the pizza in such a way that both pieces have the same amount of pizza, and exactly half of the pepperoni?