Not yet! I hope that eventually this is implemented. Mastodon had a similar problem and they kind of, sort of solved it?!
You have to create a new account on a new server then use the account migration tool. It’s not perfect; you’ll keep your followers but I think your posts won’t transfer over. Notes from the tool:
Before proceeding, please read these notes carefully:
- This action will move all followers from the current account to the new account
- Your current account’s profile will be updated with a redirect notice and be excluded from searches
- No other data will be moved automatically
- The new account must first be configured to back-reference this one
- After moving there is a waiting period during which you will not be able to move again
- Your current account will not be fully usable afterwards. However, you will have access to data export as well as re-activation.
It seems that the answer is complicated. Check this out: https://www.makeuseof.com/how-to-migrate-to-different-mastodon-server/