No.
The fire extinguisher uses the same damage formula that fire uses, which restricts the damage to 5-10. It also has a 0% health damage modifier and a 60% stun damage modifier, which combined with the 4x multiplier for choke damage on humans means they will take 12-24 stun damage from each attack.
Not terrible at stunning, but with how much TU it costs to attack and the limited range you're better off using it for its intended purpose: extinguishing people that are on fire.