Not particularly, no. The nature of having caught a "criminal" means the crime has already occurred. Crime prevention is less a cause of justice and more a cause of social work.

I would imagine that past offences correlate quite strongly with a proclivity for future offences. Hence reformation and/or incarceration should reduce the number of opportunities for repeated offence.

For an individual, yes. However criminality is not a finite resource. You can't lock up everybody.