Верно, это возможно. Инструкция от самого Bitbucket:
- From the repository you want to transfer, click Settings in the left menu.
- From the Repository details page, scroll down and you'll see Transfer or delete repository. Click Transfer repository to open the Transfer repository window.
- Enter the Username of the individual or team account you want to transfer to.
- Press Transfer.
The Bitbucket server sends the user or team account an email notification containing a transfer request. The Transfer repository page changes to indicate that you have transferred the repository.
Additionally, the system displays a pending transfer banner at the top of each repository tab. This warns others who have access to your repository that a transfer is pending. You are able to revoke the transfer request at any time before the new user accepts it. If you revoke a transfer before a user accepts it, Bitbucket sends the user a notification that the transfer was rescinded.
Что касается передачи коммитов и прочего, то верно, передается все целиком:
If you have administrative rights on a repository, you can change or transfer the ownership of a repository to another team or to a individual account. The account holder you are transferring to must accept the transferred repository to complete the transfer. You can revoke a pending transfer before it is accepted. Transferring a repository transfers the commit history, issue tracker, and wiki associated with that repository.
Я нашел эту информацию в кеше Гугла,
сама страница с этой информацией в данный момент выдается с 503-ей ошибкой.