Can you clarify that? Addiction isn't a black and white, it is a sliding scale. The science is pretty clear that sugar has "habit forming" properties and has withdrawal (in human[0], animal[1], and population studies[2]), it is very reasonable to call it addictive unless you're using a very narrow definition.
Fatty foods are a little more complex because there's different types of fat, fat found in processed food is often combined with other ingredients (like complex carbs). What I am saying is "I don't know."
[0] https://www.sciencedirect.com/science/article/pii/S019566631...
[1] https://www.sciencedirect.com/science/article/pii/S019566631...
[2] https://academic.oup.com/ajae/article-abstract/93/1/175/8715...
Even though I am not addicted to fat (I think), it is vital for the "filled" feeling I have after a meal.