Yes but no is the short answer.
The game itself is not in a good state, the game engine is poorly optimized and not very suited for the games intention.
I had the 270x and Dayz, it ran fine but I was getting very low fps, I also had the same processor as you.
I would not waste your money, do what I'm doing and wait for H1Z1 to come out:
https://www.h1z1.com/home
Also look on Steam for a game called Miscreated if you like zombie games. Dayz is not really a stable game and probably won't be for a while or never, the game has been in development since 2013...