No, but they would probably become less deadly.

(But, without a gun, people might not be so emboldened as to physically attack someone at close range. Violence might go down.)

Around the time of one of the mass shootings in the past 5 years, my conservative relatives were posting on facebook a story about a mass-stabbing. They asked rhetorically, "Why aren't we calling for a ban on knives?" Well, the question sort of answered itself-- no one had died from the attacks.