Is it possible for me to eat a hamburger 3 days after having 2 wisdom teeth removed?

Yes, possible: Unless your extraction procedure was unusually complicated and/or you are having a difficult time healing, you should be able to eat a burger 3 days post extraction. I would not add any excessively spicy toppings as it might make the extraction sites sting, and i would not make it overly thick as your jaw muscles might still be sore. A regular burger should be fine.