I'm really happy you played my game! Abnormal don't have jump because it's a mod of Cute Adblocker, a game where the player is prisoned by a evil advertisement company and made him physically challenged, and another reason is me avoiding possible bugs or making the game more 'simple' by not having to worry the player about crouching, switching weapons, grenades and everything else; in this case, the only thing player has focus on it's one gun and its ammo.
If you liked the overall concept of this game and want a continuing story, I think you'll like the original game Abnormal came from; Cute Adblocker has an actual story instead of shooting people! (like you said)
I've said this a lot in the description or in other comments; Abnormal is an unusual game where my older game elements mix together; think of it as a party where you see my games as guests ;)