I built this model rocket...?

It is basically 2 BT-80 tubes. I am going to use a "E" engine and I was interested to know if the engine would produce enough ejection charge to eject the parachute based on the amount of space from the engine to the parachute. I am uming that the ejection charge builds the pressure which causes the parachute to eject. Please correct me if i'm wrong and help me so i don't have a rocket cause injury or damage.