Amino acids/protein can be converted into glucose by the liver which can be converted into bodyfat, however there are quite a few steps involved for all of this to happen. The real question becomes, are you eating only protein? Any excess calories will most likely be stored as bodyfat. For example if your TDEE is 3000 calories for a day and you are eating 250g protein, 250g of carbs,112g of fat a day (33/33/33 ratio on 3000 calories) your weight will stay roughly the same. However if you add another 250g of protein to that for a 1000 calorie a day surplus even if none of the protein itself ends up being converted to bodyfat, you are now eating a surplus of 1000 calories... and 2000 calories of your diet is in the form of dietary carbs and fat (1000 of which is surplus)... you can expect to gain some body fat accordingly. You cannot survive on a 100% protein diet... but even if you cut down to the minimums, and cut out all dietary carbs, and ate only 10% of yoru calories in a nice balance of n-3 and n-6 fats so that you are eating EFA's. still as much as 40% of your protein (amino acids) can convert to glucose which can easily convert to bodyfat... so it is still possible to gain fair amounts of bodyfat this way if on a large caloric surplus.
Any questions?