Do you think an abuser can change?

Sarah
I broke up with my ex a couple weeks ago because of a whole bunch of reasons. He manhandled me a couple times, which he never hit me but he would take me out of the car and when I would fight him to stay in, I ended up with bruises. Which, he always got me out just so he could hug me. It wasn't anything serious honestly. He's really annoying when I'm upset. He would lie to me about the stupidest things. "If it's not over by 2, I'll leave early to come get you." *3pm comes around* "There's one last game." And then he comes to me at 4:30. Nothing big, but enough to really upset me. 
We were both super controlling of each other so I'm not completely innocent, which is what we're working on now. My grandparents have it in their head that he would hit me and leave tons of bruises on me and that he was like emotionally abusive. Which he wasn't. He just was kind of funky? Do you think that an abuser can change? Whether s/he's hardcore abusive or softcore abusive. 
I would love to hear your experiences.