Definitely not. Twilight is centered around Bella, Edward, and Jacob in a world of vampires and werewolves. It was created by Meyer with her own unique ideas. Gerard Way is associated with a different kind of music - related and comic - related work, and there's no connection between Twilight and his fanfiction.
No. Twilight was an original story created by Stephenie Meyer. It has its own unique plot, characters, and world - building that are distinct from Gerard Way's works.
No. The inspiration for Twilight came from Stephenie Meyer's own dreams and her interest in the vampire genre. There's no evidence to suggest that Gerard Way had any influence on it.
Love and friendship are also common themes. In some fanfics, Gerard forms new friendships or even falls in love with characters from the Twilight series. This can range from a romantic relationship with a vampire or a werewolf to a deep platonic friendship that helps him navigate the complex world he's been thrust into.
I'm not entirely sure specifically about this 'twilight was a gerard way fanfic', but it could be that the author was a huge fan of both Twilight and Gerard Way. So, they decided to mash them up. It could feature characters from Twilight acting in ways inspired by Gerard Way's creativity. For example, a Twilight character might start dressing or behaving more like someone from Gerard Way's music videos or artworks. It's a really creative concept that could attract fans of both.
People who are fans of alternative culture and like to see different universes collide would be interested in 'twilight was a gerard way fanfic'. If you like Gerard Way's music, which often has themes of the supernatural, the angst, and the beautiful - yet - dark side of things, and you also have a soft spot for Twilight's supernatural elements, then this fanfic could be right up your alley. It might also attract those who are interested in exploring how different art forms can influence each other, like how Gerard Way's music and art could influence the written story of Twilight in a fanfic.