I wanted Tim Berners-Lee's "Solid" project to be at least a partial foundation for this, but it doesn't seem to be getting traction.
Some way to "self-host" or "own my own data" isn't very possible in a world of complex system administration and cloud providers, GDPR/Privacy, etc.
Maybe solving this problem (via FOSS, hopefully) and giving people their own internet-in-a-kit could be a good way to go?
Are there active projects like this? Is it even feasible?