Short answer - but only if the abuser wants to change.
Long answer - habits and ways of interacting are fairly ingrained and changes will be slow and sometimes painful. The pain of being abusive has to outweigh the pain of changing the abusive behaviour for it to take effect.
I have seen it happen though - it took 14 years of a good friend of mine crying herself to sleep every night before her husband actually changed.
He's pretty good now