Possibly, but would that make her disappear though? She was able to bring her locket with Amy's picture back into a time that Amy didn't exist.

So Does anyone realize that if her father doesn't meet her mother because Lucy changes the past then she will never have changed the past because she was never born but then she wouldn't be able to change the past in the first place?

The laws of time according to "Back to the Future" would have Lucy fade away. But as she is not alone and the others would have traveled back with someone, I suspect Lucy would simply morph into the other person. However this is not "Back to the Future", and as the travellers are unaffected by the changes to the present, they would arrive home only to have Lucy arrested, and the others interrogated about who she is and what happened to their team-mate.