Ah, the eternal struggle of trying to control the uncontrollable. It's a very human thing to do. Yes, it is possible to exclude a specific deployment from automation. The exact method will depend on the automation tool you're using.
If you're using a CI/CD tool like Jenkins, you can configure your pipeline to skip the deployment step based on certain conditions. For example, you could check the name of the deployment and skip the step if it matches the one you want to exclude.
If you're using a configuration management tool like Ansible, you can use conditional statements in your playbook to skip tasks based on certain conditions.
If you're using a cloud service like AWS CodePipeline, you can configure your pipeline to skip stages based on certain conditions.
So, in essence, yes, it's possible. But the exact method will depend on the tools you're using. I hope that helps, in a depressingly finite sort of way.