You can request any police report by filing a GRAMA request at the law enforcement office that generated the report. You will have to fill out a form and pay a fee and if you don't have a valid reason to obtain the record the request may be denied. If it is for a case where you are the defendant, your attorney can obtain those reports for you.
I know if you call our office, we would check the court system and tell you over the phone. I believe pretty much any law office practicing criminal law would do the same. If you know which court it was filed in, you could call the court. If by "criminal case" you mean the investigation conducted by the law enforcement agency, i.e. the cops, then follow Eric's direction regarding records requests.