I think so. How many dogs can one person handle? A few years ago in San Fran, a woman had two great Danes that killed her neighbor. She was helpless to stop them.
In Philly, there was a woman who had between 7 and 9 dogs at a time. Her neighbors constantly complained because of the noise and the smell. She was known as "the dog lady". Few people knew her name because they couldn't get close enough to greet- because of all the dogs and leashes.
The other people who owned more than one or two were people who trained them to fight. Some would be training, and the others would be starving until they could become "training dogs" for the real fighters to practice on, and to learn to kill.
So, I am all for a limit on dogs in the city. Who needs more than two dogs, and why?