In am emergency, like the Saddam Hussain case, a lab can do a DNA test really quickly, but consider this. I must be misunderstanding something.
According to the New York Times the other day (no link), the transit police arrested a guy for slipping under a turnstile. They took him to 45th Precinct and booked him. I presume they took a DNA sample. There was an arrest record, ten arrests in ten years. Some for weapons, but I got the impression that the guy was not going to be held. I see this whole story happening in the station house.
Then they got a call from some lab. They had a DNA match for this guy and that case where someone raped and beat up an elderly lady a few months ago.
Book 'em Danno!
Could this have happened so fast? Could this have happened in less than 24 hours?