Well, I guess it really depends on the circumstances of the break up.
I don't know what your situation is, but in my case, I broke up with my boyfriend. And frankly, I refuse to be the one to break the no contact. Why? Because he is the one who deeply hurt and caused damaged to me and our relationship. As far as I'm concerned, the responsibility is on him to come to me and make reparations. I know he loves me, I know he wants us to continue, I know I am the one who told him to leave. BUT.. he lied to me, and he cheated on me. He is in no position to be pissed off at me for breaking things off, for getting angry at me because I yelled at him to get out of my house.
Again, this is only my situation, I have no idea what yours is. But, as I see it, the person who screwed up the relationship should be the one to eat humble pie and stick their neck out to break the no contact, and do what it takes to fix things.