Yes, actually there have been many police impersonators that fit that exact description. Do a YouTube search and you can spend the rest of the day watching them. Another thing that impersonators do is refuse to show official ID.
Yeah, and you can also find dozens of stories of seemingly innocuous drivers, even females, shoot at police officers if they let their guard down. He asked for her drivers license. Just hand the cop your drivers license and if you have a concern, dial 911 while he’s running your information. By the way, this did not happen on a country road out in the middle of nowhere. This was in a neighborhood.