Not really. There have been a lot of proposals, but it's not possible to do without tradeoffs (Zooko's Triangle). And in practice, most of the proposed alternatives are worse — not only do they not provide one or more of the desired features, they are also unacceptably complex, fragile, or resource-intensive.
Not to my knowledge at this point in time, though I wish there was. Gopher and other small web tech seem closer to the owned platform idea.
I would love not having to rent my platform from anyone, but our current system does not support owned domains for a non-technical user who does not have the tens of thousands of dollars to apply for owning their own TLD.