I had a two day hangover once. I was in Sweden, they drink some pretty ridiculous alcohol that they fill with spices and all this other weird stuff, I felt so sick in the middle of the day, then got sick again later that night, ended up throwing up, spent the entire next day in a battle with my intestines, threw up several times more and did nothing, then the day after that spent most of the day until about 6 o'clock feeling sick & ****ed up.
Its definitely possible.