SHOULD YOU? Who cares? Will you? probably. If you’re a girl. I’ve never “named” one, but I’ve called a few a few things.
My current vehicle, a '92 Ford TempoPinto, and most commonly referred to as the Rattmobile. My last one, a baby pick-up (GMC S-15) was the Mudd Dukk.
But I’ve never “named” one, or even referred to one as Shirly, or Mary, or even ED the bad parker. mostly.