It's very possible. Fanfiction writers often come up with various scenarios for their favorite characters. Since Davina Claire is a character that some fans may be interested in, it's not uncommon for there to be a fanfiction where she is pregnant. You can also try searching on Tumblr, as sometimes users share or recommend fanfictions there.
There could be some. You might want to check popular fanfiction websites like Archive of Our Own. Just search for 'Kol and Davina pregnant' on the site and you may find a variety of stories with different plotlines and interpretations.
One interesting Davina pregnant fanfiction could be about how she discovers she's pregnant and the initial shock and excitement that follows. It might explore how her friends and family react to the news, and how she starts preparing for the new life coming. For example, she could be worried about how her powers might affect the pregnancy or how the baby will fit into her rather unique world.
One possible plot could be about how Davina's pregnancy affects her relationships. For example, it might strain her relationship with Kol as they face new challenges together. Maybe the other characters in The Originals have different reactions to her pregnancy, some being supportive while others are worried about what it means for the supernatural balance in their world.
Kol could be the father. Given their relationship in The Originals, it would be a likely scenario. Their relationship was complex and a pregnancy would add another layer of depth to it.
I'm not sure specifically about a 'davina pregnant fanfic'. There are so many fanfics out there, and it might be quite niche. You could try searching on some popular fanfic websites like Archive of Our Own or FanFiction.net.
Relationship development is often a theme. The pregnancy might bring them closer or cause some tensions as they adjust to the idea of becoming parents. Another theme could be the reaction of their friends and family in the fanfiction world. Some might be supportive, while others could be against it for various reasons, like fearing the power of the unborn child.
You could try Archive of Our Own (AO3) first. It has a large and diverse collection of fanfictions. If you don't find what you're looking for there, then check FanFiction.net. Additionally, some smaller fanfiction communities or forums dedicated to the show or character might also have relevant stories. You can search for those using search engines with specific keywords like 'Davina Claire pregnant fanfiction forums'.
Maybe Elijah Mikaelson could be paired with Davina in pregnant fanfiction. He is a very noble and protective character. If Davina was pregnant with his child, he would surely go to great lengths to ensure her safety and the well - being of the unborn baby. The story could explore their relationship growing deeper as they face this new chapter in their lives.
The plot might involve Davina's journey through the pregnancy. She could be excited about having a baby, but also worried about the future. There could be a sub - plot about the father of the baby, if it's not clear from the start. For example, she might be trying to find out who the father is or dealing with a difficult relationship with him. And also, her pregnancy could bring out new powers or challenges if she's from a fantasy - type of fandom.