No. Eating more calories than you burn makes you fat, whether those calories come from carbohydrates, protein or fat.

As with the myth that carbohydrates make one fat, the answer to this is the same. Calories ingested and absorbed above expenditure contribute to increasing fat stores. However, there is some evidence that would suggest it is easier to get fat when consuming a high-fat diet. It seems the human body has a difficult time regulating food intake on high-fat diets, making it easier to accidentally eat excess calories. Also, because fat provides a lot of calories for a small volume (nine calories/g vs. four calories/g for protein and carbs) one may have a harder time feeling satisfied with the smaller food volume a high-fat diet would provide.