Just out of curiosity, does Kbin offer the feature of being able to move your account between different servers? Like for example, moving from Kbin.social to Fedia.io
AFAIK this isn't a built-in feature in ActivityPub and Kbin doesn't implement a migration feature similar to Mastodon.
All you can do is copy your subscriptions from an instance to another (there are tools for doing that with Lemmy, I haven't found any for Kbin), which means you can't migrate your posts to another instance, neither automatically make your followers follow your new profile.
I don't believe so. However, it seems to me like the fediverse, in general, is less bad about you getting access to your data. I would bet you could create software that could migrate a lot between instances.