No they did not, and that was a completely inappropriate action for which the paramedics deserve to be punished.
However, the ketamine administration never would have happened had the cops not unnecessarily escalated an interaction with a citizen who was harming no one and breaking no laws. It also likely wouldn't have happened had the cops not lied to the paramedics in describing a state of agitated delirium, when in reality what was going on looked nothing at all like agitated delirium. The body cam video makes it pretty clear that Mclain's "resisting" was really just an attempt to position himself so that he could breathe better and not aspirate his own vomit. Turns out, that isn't so easy to do when you've been choked out and your hands are cuffed behind your back and someone much larger and stronger than you is applying force to your torso.
"He's SOOO STRONG!!! He almost did a pushup with three of us on his back!!!"
"He tried to get my gun!!"
"He wasn't doing anything criminal, he was just acting crazy!!"
What a bunch of goons. Everyone on that scene looked like a bunch of lobotomized monkeys trying to have their way with the proverbial football.