Nope. You body makes its own cholesterol. In fact, several studies have raised real questions whether dietary cholesterol has any significant effect on blood cholesterol.
Cholesterol goes down when you lose weight. No exceptions. Cholesterol goes down when you quit eating grease and eggs. No exceptions. Whether or not it goes down as much as you want is a different matter. THe cholesterol your body makes is insignificant compared to what’s in your diet.