Is it possible to transfer my domains?

Yes.

You can transfer domains between environments. When you transfer domains between environments, such as from a staging site to a production site, Web Governance can help you retain development decisions such as dictionary additions, reviewed or ignored items, and exclusions. If you need to do tasks like this, the support team must help. Select Contact support in the Help menu to start a chat, or email Acquia Support. Do not alter the domain setting in your Web Governance account.

Additional resources

For further assistance, select Contact support in the Help menu to start a chat, or email Acquia Support.