No, because I was inside the car the entire time cleaning it out with the driver door closed. The car will only ding with the door open. I wish I could eliminate that feature also, but I like the ding when I leave the lights on. This strange sound is not coming from the chime system anyway. The noise is definitely outside of the cabin under the hood.
I guess you could say that the sound is somewhat like a fuel pump whirring, but it's much more annoying.