At least not one that's hosted in a country where the IP mafia has any power, which is unfortunately most countries excluding places like Russia or China where you probably wouldn't want to host it anyhow due to a variety of other, uh… issues
As long as you host the checksums elsewhere so that users can verify the repo hasn't been tampered with, you can host files in China or Russia just fine.
Since they're back at it again I have to jump onto my alt and re-share the fact that I totally backed up Yuzu's source code, their progress reports, their Github issues pages + pull requests, and all the latest available binaries right before it got taken off of Github. No illicit materials in my archive (ROMS/Firmwares/Keys). Freely available as a torrent.
The Internet Archive operates under the principle of fair use, which allows the use of copyrighted material for purposes such as criticism, comment, news reporting, teaching, scholarship, or research. They also adhere to legal guidelines and protocols to avoid infringing on copyright laws. Additionally, they often rely on user-contributed content, public domain materials, and works with expired copyrights to build their digital library, which helps mitigate copyright issues. However, they do occasionally face legal challenges or takedown requests, and they respond to those according to the law.
In case this is a real question: AFAIK* that is not possible for them to do. The project was open source and it accepted code contributions from everyone using a FOSS license. This means:
Everyone who has seen the code explicitly has rights to redistribute it, and this right cannot be revoked
The core team does not own the entirety of the code - to transfer ownership to Nintendo they would have to get approval from every single contributor that ever made a pull request that got merged. This is impractical to say the least
So no, there is no and there cannot be legal basis for Nintendo to claim copyright on Yuzu. They might have other claims, but I won't weigh in on how good they might be because I'm way out of my depth already.
* I'm actually making a bunch of assumptions about Yuzu's licence and number of contributors that I haven't bothered to check, so take this with a grain of salt. I'm still pretty confident about point 1 though, I'd be really surprised if this was a wrong assumption, and it alone is enough.