No, which is why she's so inquisitive about Caleb. She was designed using Bluebook's knowledge of how humans think, behave and process information - but she does not have access to Bluebook's servers.
But why does the fact that she left him mean that she can't be empathetic?
The knowledge of right and wrong isn't necessarily inbuilt to us. It's not something we know and feel from birth, and if you grow up outside of any society, raised by a psychopath, then you haven't experienced much empathy and don't know how to empathise. This is why I use the comparison of Ava to a child - a newborn baby does not have any moral sense of justice. If it does something awful, even if seemingly on purpose, they might not realise that they are doing evil. Yet that doesn't mean they will always be like that.
I think empathy is learned. If you've never met anyone besides your parents/creator, then you aren't going to be as developed as others. So yes, Ava was doing wrong, yes she was not being "human" - but that doesn't mean she can't grow up. I feel that Ava is very curious, and in the final shot, I believe she was going to discover herself and learn from those who were missing from her life, fit into society.
The film draws upon all these topics and questions, like whether empathy is learned or innate, whether we have to be emotional to be human, whether society and contact is what makes us human and without that we are robotic etc., and these are just a few among many, many ideas in the film. I love that you can take so much from it.