Is being emotionally abusive genetic?

Environmental. Someone raised in an emotionally abusive home has been in the environment of abuse. A child adopted into an emotionally abusive family has a greater chance of becoming emotionally abusive himself. The biologic child of abusive parents, who is adopted into a loving and nurturing family has a greater chance of becoming a loving person because of his adoptive environment. Nature (genetic) vs nurture.
Not exactly genetic. Emotional abusiveness is a complex behavior. It is familial in that children learn what they are taught. Children/people who are emotionally abused learn to emotionally abuse others.