um...we still have, like, the internet? You can make some html file, post it on a computer exposed at a port, connect it to the internet, assign it to a static IP, and tell other people the address?

Unless you are specifically referring to someone providing general purpose hosting that you don't need to think about administering — well that isn't a feature of our present-day landscape simply because it wouldn't be a profitable venture given the risks and liabilities from the messed up things people could stash there, along with the inherent costs of admin and hosting.

But if you are willing to set up your own box and procure sysadmin for it, what you suggest exists.