Yes, and it's terrible, BUT John Wick spends the rest of the movie deliberately, gloriously, and violently avenging the dog, so it feels really pro-dog overall.
NOT SAFE! around like 22 minutes, it is graphic, but really short, and you only see it from kind of above of the person, so you dont see him vomiting but just the vomit, it is audible, it may trigger some people