In oder to be in possession it has to be on you or in your sorroundings.
its when you have a gun or any weapon that fires bullets.
Having a firearm on your person. It may or may not be legal, according to state and local laws.
something owned or possessed
something that is yours
Unless some type of irrefutable evidence can be introduced (e.g.: videotape of the person actually armed with it), or testimony of a reliable witness that they saw you with it and you threw it away.