They have some. I use RSS to get Matt Levine's column, for example.

Link: https://www.bloomberg.com/view/rss/contributors/matt-levine....

They do:

http://www.newslookup.com/rss/business/bloomberg.rss

No, they don't have an official list of RSS feeds for all categories, like Reuters[1] and others do. There's no way to follow bloomberg.com/markets via RSS, for instance.

[1] https://www.reuters.com/tools/rss

I found this, perhaps it can be of some help https://www.bloomberg.com/view/rss

Oh, and there's also this https://www.bloomberg.com/politics/feeds/site.xml