Ability for Blocked People to Unable to See your Message History

Hey Discord, a while back I used to be friends with this person but eventually, they turned out to be problematic. Because I blocked them, they decided to take screenshots of my messages in our DM's out of context and accused me of a bunch of things I didn't do. It was troublesome trying to sort things out, and even though all this stuff has passed, I was still wondering if I block someone, I can also have the option to prevent them from seeing our DM history anymore? People who are blocked can't message me anyways so there's no reason to be able to interact with our messages. 

I had to delete a bunch of my messages to those people to stop them, and also delete and start over with a new discord account to fix it, which was kind of annoying. Of course, my situation is different from everyone else. If the blocked person truly believes a person has done something truly wrong in dms, there could still be a report button that lets discord sort out the situation.