Not that I can see.
Here is her only legal qualifications as a judge:
{...
Barrett spent
two years as a judicial law clerk after law school, first for judge Laurence Silberman of the U.S. Court of Appeals for the D.C. Circuit from 1997 to 1998, and then for justice Antonin Scalia of the U.S. Supreme Court from 1998 to 1999.
...}
en.wikipedia.org
She was appointed to the appeals court by Trump in 2017, but appeals court is not experience as a judge.
{...
On May 8, 2017, President
Donald Trump nominated Barrett to the United States Court of Appeals for the Seventh Circuit after Judge
John Daniel Tinder took
senior status.
[5][6] A
Senate Judiciary Committee hearing on her nomination was held on September 6, 2017.
[45]
...}