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If by project you mean the project name from `Pulumi.yaml`, then yes. The latest version of the Pulumi CLI supports changing that by using `pulumi stack rename`.

Just run `pulumi stack select` and then `pulumi stack rename mbixler/new-project-name/new-stack-name`.

Moving stacks between different Pulumi _organizations_ is something that I can do for you, but we don’t have support for it in the Pulumi Console UI just yet.

this is in the same org, but I'm getting permission denied even though I own both projects

That’s odd. Can you share the `pulumi` output with the error message? (Feel free to DM.)

Looking at the code, renaming a stack requires the organization `ADMIN` role, and not just stack `WRITE` access. That doesn’t sound quite right, and I’ll look into changing that for our next release.