You Betcha! Chlorine Gas, a biproduct of its chemical reaction (Mixture you specified) is deadly, Its also corrosive so you will "rust in peace"....don't play with chemicals!
Ammonium nitrate is NH4NO3 and is formed by reacting ammonia (NH3) with nitric acid (HNO3). Ammonium sulfate is (NH4)2SO4 and is formed by reacting ammonia (NH3) with sulfuric acid (H2SO4)