You could call Bitbucket API inside the pipeline and check if draft is true, and then not proceed/exit in your pipeline script.
It would still trigger the pipeline though, and after you mark your PR as non-draft, you will likely want to build it. However, I haven't checked it, but it won't be trigger automatically, you will need to push to force a build of your PR.
We provide a Bitbucket Cloud app, Flowie, which you can configure it not trigger pipelines based on certain conditions of the PR. You can use Flowie's draft workflow feature based on labels to achieve what you want. An as soon as the conditions change, say you mark PR as non-draft it will trigger the build.
We don't support Bitbucket built in draft yet, as it was recently released, but it should be added soon, if you prefer it over Flowie's draft support.
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