Actually, kind of not. FSF has a weird blindspot when it comes to backend stuff. They care about what runs on your computer, e.g. Javascript, but stuff running on a server that you don't own they don't really care about. The AGPL had to come from an outside third party, not the FSF themselves. The FSF has been pretty silent when it comes to making licenses to regulate the whole "cloud" space.
It's one of the big reason why the FSF has been slowly driving away into irrelevancy. The modern computing world is all about servers and data flowing between them. And the FSF is continuing doing licensing like it's the 1980s. They are so far behind that politics got there first with the GDPR. There is still no "GNU GDPR" that you can slap on your software to give people outside Europe similar rights.