[url=http://nutritiondata.self.com/facts/fats-and-oils/7186/2]Nutrition Facts and Analysis for Animal fat, bacon grease[/url]
Bacon is an unusual exception. Most types of animal fat have at least 1 or 2 grams of fiber (soluble) per 100 grams.
Fat is a macronutrient. Fiber is a type of carbohydrate, which is a different macronutrient. So fat, in that sense, can't contain fiber.
It's kind of confusing. In a kitchen, a steak or a piece of chicken is referred to as a protein. But a steak is obviously more complex than simply protein molecules. It contains fat and water. Any carbohydrate content in the fat is probably negligible and safely disregarded.
So short answer: no.
[QUOTE=Timthetaco;1041121]Bacon is an unusual exception. Most types of animal fat have at least 1 or 2 grams of fiber (soluble) per 100 grams.[/QUOTE]
I don't think so....the food that the fat is in may have some but the fat on its own is just that a macronutrient.