Can I make a website like 4chan?


I want to make a website like 4chan and I am wondering if that would be allowed. What type of hosting would be good for this?
Considering its an imageboard, part of the point would be free speech. So people would be able to say whatever they want. They may also upload or link to copyrighted content. I would remove these posts if I received a DMCA takedown request. But of course if dreamhost doesn’t allow copyrighted content than the story ends there.
Also some users may post CP, which I would remove immediately, but how would dreamhost feel about the chance of it even showing up on their servers?