Not quite. Both suffer from a lack of cognitive empathy, but it manifests differently. Sociopaths simply carry that lack of cognitive empathy into their lives, and consider most of the world to be irrelevant in their pursuit of their goals. They're more than okay with the world burning if it gets them what they want, but don't care to go out of their way to inflict harm. Psychopaths, on the other hand, tend to find pleasure in hurting others, and act on that