Yes. In most instances, the proceedings by police or attorney general can happen at the same time with some exceptions. If you are from the the US and want to take your case to police, the US FTC recommends to submit to local police department these documents:a copy of your FTC Identity Theft ReportState photo IDproof of your address (rental contract or utilities bill)any other proof you have of identity theft (bills, IRS notices, etc.)FTC's Memo to Law Enforcement (can download it here)