No. Contrary to layperson belief, there is little new in deepfakes. People have been faking the image of celebs for many years decades (SNL) and faking their personality even further (Hustler v Falwell, Lohan v GTA). The porn industry has an entire genre dedicated to parodies of famous people and famous situations. And there are the professional celeb lookalikes. Every historical film involves someone trying to mimic a real person. Imagine if Winston Churchill's estate started going after every actor who has ever used "his" accent without permission. All of those are situations where the mimicry was done blatantly and openly. This is a case where the mimicry is contested at best. The only hope would be to somehow prove literal copying, her voice fed into that software.
And pity every other upcoming actor who looks/sounds vaguely similar to an existing famous person. Shall they be gagged, the very sound of their voice owned by someone else?