Would it be okay if I told my family to stop trying to contact people close to me?
Is it because you have some sort of mental health condition?
No, I'm fine. I do talk to myself, but I'm aware of what I'm doing.
It's good that you want to establish boundaries with your family, but keep in mind that you can't necessarily dictate who they talk to. You can ask your family not to discuss you with your friends, but telling them not to speak to people close to you will likely hurt their feelings. Consider discussing your specific concerns with your family, so they know which lines not to cross.
Well that would hurt their feelings.
It is fine to establish boundaries with your family, especially if they are hurting you. While they may be hurt it would make sense that you tell them how you feel about them contacting people close to you-- as long as you don't expressly forbid them, because that's wrong too.