Lol just kidding! Heck yes you can!! Jeez, u have a wrangler now. Rip em' off! Some States require you have at least the drivers side rear view mirror. You can buy mirror relocation brackets, they're pretty cheap. I got mine on eBay.
As you can see in the photo, my mirrors are attached to my body so I can still have them when I take my doors off. One thing to remember though is if you go this route, it is very hard to see your passenger mirror with the doors on.