Yes. There have been a few "linux phone" projects, including the ubuntu phone. I too want an open phone onto which I can install a variety of operating systems and would pay serious money for such a device. Sadly, no such product exists atm.

If anyone is listening: I could not care less about instagram or reddit's app. Forget the app store ecosystem junk. Just give me a phone that can make calls and runs a basic web browser. I'd like an alarm clock, and a map/navigation service might be nice, but those aren't deal breakers.