I have some devices that, when I plug in, will display a unique name, usually a serial number, as opposed to "COM #" is there any way I can have my Arduino Uno (or Mega) give itself a different name in my program's set up structure?

I have some devices that, when I plug in, will display a unique name, usually a serial number, as opposed to "COM #" is there any way I can have my Arduino Uno (or Mega) give itself a different name in my program's set up structure?

Edit: My purpose here is that I'm writing a program on the computer side that needs to find the Arduino among multiple possible COM ports. I'm deploying this program over multiple computers that I don't have admin access to so changing the registry is likely a non-starter.

Right now, I'm going through each port and sending a *idn?\n (which my program responds to with a specific string). For another device I have, I can search the possible connections for a port named [device serial number] and test that one first.