Well, it's quite possible. The 'laxus x lucy' pairing has a certain following in the fanfiction realm. Some fans might be interested in exploring the idea of them having a pregnancy storyline. But not all fanfiction platforms will have a large quantity of such stories. You can also check out some specialized Fairy Tail fanfiction communities where fans might share or discuss such works.
Archive of Our Own (AO3) is a good place to start. It has a large collection of fanfiction from various fandoms, including Fairy Tail which 'laxus x lucy' is from. Just use their search function and type in the relevant tags.
There could also be other supporting characters from the Fairy Tail guild. For instance, Mirajane might play a role in giving advice to Lucy about pregnancy and motherhood, since she has a nurturing side. And Makarov, as the guild master, could be involved in ensuring the safety of Lucy and the future of the guild with a new member on the way.
This situation could also bring out a softer side of Laxus that others in the guild haven't seen before. He'll be more affectionate towards Lucy, and they'll share a special bond over their unborn child. Their relationship will transform from just a couple to soon - to - be - parents, which is a huge shift that will be filled with both challenges and beautiful moments.
Yes, there might be some interpretations of such a concept in a family - friendly way. Some fanfictions might focus on the relationship development between Laxus and Lucy in a more innocent, platonic sense and then explore the idea of a family - like bond without going into inappropriate content. For example, it could be about them becoming very close friends and then taking on a parenting - like role for an orphan or something similar.
One common theme is the element of surprise. Usually, they find out about the pregnancy unexpectedly, which then sets off a chain of events in the story.
Some people also recommend following specific Fairy Tail fanfic writers on social media platforms. They might announce when they've written a new Lucy x Laxus piece or share links to their works. Additionally, if you're part of a Fairy Tail fan club or group, asking around there could lead you to some great fanfictions.
You can start by looking on Archive of Our Own (AO3). It has a large collection of fanfics from various fandoms. Just type in 'Laxus x Lucy pregnant' in the search bar and see what comes up. Another option is FanFiction.net, which also has a wide range of Fairy Tail fanfics.
I'm not sure if there is a specific fanfic with that exact plot. There are a vast number of fanfics out there in the Fairy Tail fandom, but it would take some searching through various fanfic platforms to know for sure. Some popular fanfic sites like Archive of Our Own or FanFiction.net might be good places to start looking if you're interested in such a story.
One idea could be that they discover the pregnancy unexpectedly. Maybe they were in the middle of a big adventure in their magical world and then Lucy starts showing signs. It throws them into a new set of challenges as they have to balance their duties in their guild with preparing for a new life.