Depends on what you consider taking down. The fact that the project is FOSS means anyone who wants to can fork the code, so it would be hard to eliminate one’s ability to get the source code even if the main repos got taken down and the maintainers are detained or killed.

As to whether they can control the fediverse in a way that allows them to invent reality like they do with mainstream platforms, I could see them trying to compromise admin teams for individual instances. However, unlike mainstream social media, our eggs aren’t all in one basket so to speak. They won’t be able infect the entire platform like they can do with big tech.