So, you believe that a state would be within their rights to abolish all laws against murder, rape, robbery and kidnapping?
That seems like a loaded question...but...yea. You probably have to explicitly state that the common law crimes are also abolished, but states abolish common law rules by statute all the time.
I’m not sure that property values would do very well in such a state though.
Wasn’t there an old wild west legend that ended with the judge freeing a murderer because “There was no law on the books outlawing the killing of a Chinaman” or something?