I doubt it. She may have been an officer of the court, as such, but has had ZERO experience as a judge, even on a local level...let alone Federal or Appelate courts.
According to George F. Will -
...43 of the 108 Supreme Court justices (most recently Byron White, Thurgood Marshall and Lewis Powell), including eight of the 18 chief justices (most recently Earl Warren) had no prior judicial experience.
When William H. Rehnqust was appointed to the Supreme Court in 1972, I believe that was his first experience as a judge.
So the fact that Hillary has never been a judge would not prevent President John Kerry from nominating her to be the next Chief Justice of the Supreme Court of the United States. She would be the top name on the list of Democrats.