Keybase doesn't do this explicitly, but would be in a good position to do so. It's all about identities, including PGP keys. The profile page currently only shows your identities elsewhere, but they do have a "public folder" which could host a bio. They would need to do something similiar to Github profile readmes so that a specific folder or files show up on your profile. They might even have that as a feature and I'm just not aware of it.

- profile page: https://keybase.io/ytjohn/

- public folder: https://keybase.pub/ytjohn/

- github profile readme: https://www.aboutmonica.com/blog/how-to-create-a-github-prof...

UPDATE: They do let you create a homepage with an index.md or index.html. (https://ytjohn.keybase.pub/). However, you would be on your own getting the information from your profile page onto your public webpage. You would just be hosting a static page and not benefiting from the verified identity portion on the profile page.