Is the sentence correct?

We need more information.

Are midgets perpetrating this crime?

Maybe yes, maybe no.

The sentence is correct if you're saying it's not completely crime-free there.

If you mean to imply, however, that the level of crime is low, as opposed to a high level, you'd say "There's little crime there." (no "a")

Whether it's correct or not depends on what you're trying to say. It's what we keep telling you: CONTEXT, CONTEXT, CONTEXT. CONTEXT IS ALL.

Thanks, Username.