Sometimes, yes. In any interaction with police, there is a certain probability of the police killing someone. The killing may be justified (defense of self or community), or occasionally it might not be. But more criminals -> more interactions with police -> more opportunities for an interaction to become deadly.
(Homicide is generally the most accurately tallied crime, so best for such comparisons)
In general, countries with fewer killers and thugs per capita can afford a softer police touch. Maybe one day we in the US will figure out how to reduce or reform our population of unsavory individuals, but until then law enforcement have to deal with them as best they can.