No, like so many other characters, it was a clean start in 2011 in the New 52. She arrives on earth in Supergirl #1.
I don't know if King's book is canon, and if it isn't, I'm not sure making a movie based on it would absolutely make it so. Depends on what kind of connections DC comics ends up having with the DCU, I guess.
I would guess the current DC editors have no idea what is in continuity, and they no longer seem to care much.