There are a couple of ways to understand this question.
First, you might be asking if there is some kind of genetic predisposition to crime. In other words, are some people born as criminals? The answer to this is that there are some genes which seem to make people more likely to commit crimes. But the genes do not completely determine behavior. Instead, they interact with the person's environment to determine whether the person will commit crimes.
I assume that this is the kind of thing you are asking about, so the two links I have provided are on this subject.
Second, you might be asking about genetics and crime detection. The answer here would be that DNA evidence can often be used to determine who committed a particular crime.