Yes, there are some out there. You can start by looking on fanfiction websites like Archive of Our Own. Just search for 'Anakin and Barriss love' and you'll likely find a variety of stories. Some might focus on their relationship developing during the Clone Wars era, exploring how their different personalities and Jedi training could come together in a romantic way.
Sure, there are. Fanfiction often explores relationships that aren't part of the official Star Wars canon. Anakin and Barriss' potential relationship is an interesting topic for many writers. Some stories may show them meeting in secret, sharing their thoughts and feelings about the Jedi Order and their own place in it, while slowly falling in love, adding a new and exciting dimension to the Star Wars universe.