Empathy is about living and values, just as someone can be a good person, or a bad person, based on their education, culture, past experience and values, just as I who recently became a father became much more empathic about my parents.
If it's really a semi-programmed artificial intelligence that captures around you the experience with your programmers, with people, with the environment, etc., and somehow is set to learn from it, I believe you can develop some kind of “ empathy ”, but as Jaume said, it won't be“ natural ”
We have to remember that real artificial intelligence is the one that absorbs and learns, not a set of IF's and ELSE's.