Can I re-point DNS record from one Netlify project to another?

I have a custom domain already set up on one Netlify project. I want to delete the project and create a new one. Currently, when I try to add the same custom domain to the new project, I get “Another site is already using this domain”. Is there a way to move the DNS records from the old project to the new one, or do I need to manually delete the DNS zone and copy every record to the new project?

If the domain is in the same account as the old one, you can simply delete the old site and add the domain to the new site.