Compiling for different architectures with a NAS?

Hi ! I'd like to have a Gentoo computer. But also in the future a Gentoo cell phone. Why not a Gentoo home console?

Is it possible to provide all this hardware with pre-compiled updates with a NAS that would do this automatically periodically?

I have the impression that with Gentoo, I'll be able to create tailor-made systems for my devices, and it gives me lots of ideas, but compiling on all these machines makes me feel a bit cold

Sorry if this is a silly question, I'm neither a developer nor an administrator, but I'd really like to learn how to tinker with my PC !