Nowhere near as cut and dried as "sociopaths are made and psychopaths are born". There's been plenty of work done that suggests hereditary links for antisocial personality disorder (sociopathy), just as there's been work done on the impact of environmental factors in psychopathy.
There is more and more evidence that psychopathy is directly linked to a deficit in connection between a critical part of the brain. The result is not just a lack of emotion but also poor outcome judgement, meaning decision making is compromised as well, hence the seemingly impulsive behavior. The part of the brain that controls emotion and makes you pause and think through actions is malfunctioning or just not connected properly to the other parts. This then leads to the thought that given enough technology you might be able to 'fix' such an individual. There are more and more recent studies proving the theory now that high resolution MRI is available. On sociopathy its really somewhere between normal and psychopathy, about a quarter of incarcerated ASPD diagnoses also fit the psychopath diagnosis. With a sociopath there is a genetic disposition that makes you more vulnerable to it, however the sociopath has a weak
conscience (as opposed to the psychopath with little to none) so can be environmentally altered to right/wrong outcomes.