Would it be possible to design a criminal justice system that recognizes only a bounded amount of crime?

I.e., a legal system where the "choosing" of which cases to go after, is somehow built into the letter of the law (maybe with a high bar in the indictment process?), such that everything that is illegal by the letter of the law is something necessary to go after (the societal equivalent of a showstopping bug—serial killers, for example), rather than just a "nice-to-have" that could be indefinitely deprioritized.