I'm sure he did it was 6,000 beli or something
Nope. Sorry.
You can still be famous and get not have a bounty. It seems like Zoro didn't do anything to warrant a bounty on him, he hunted pirates..
Daz Bones is a different story, we don't know what he did and if you have a crazy big ass black man with blades for a body that slices people up like cake that doesn't work for you, is there any reason to NOT have a bounty?