I partially agree with the statement. Gaining control over one's life cannot be had has a whole. Only some can be convinced and some may be put in right path. In this context, some of the addictions had by the person can be breaked like use of hot drinks, excessive speaches, irrelevant arguments and irresponsibility.
You ask the follwing: "Does gaining control over one's life include the ability to break an addiction?"
As I see it , to gain controls over one's life has degrees and, hence, it is not an all or nothing phenomenon. As a psychologist, I use to say that the extent to which one gains control over his/her life depends on one's ego strenght. When one's ego strenght is strong, one is more likely to gain control over his/her life and break an addiction.
In the same vein, there are addictions and addictions. The more addictions are strong the more difficult it is to have control over them.
However, overall, we can say that to gain control over one's life include the ability to break an addiction.
Addiction is reliance on some morally and socially wrong habit or consumable and in a way become hostage physically and emotionally.Addiction results in slavery of some apparently pleasure giving but actually gilt formulating activity.It implies this a person suffering from addiction is already in the perceived control of some activity.This psychological control is nourished by the irrational beliefs and frustration intolerance in facing the reality of the real life.Addiction create an imaged reality that act as a scapegoat for the person making use of it.it is our choice to be freed from addiction of any type improve our real self image.The bigger the gap between our perceived self image and ideal self image greater will be our frustration and anxiety and greater will be our emotional weakness.so breaking an addiction means one is taking steps to uplift his emotional state,change his or her style of thinking and improve his self image.All such practices create an intrinsic feeling of control and confidence.