I don't think so, not without a plugin.
First idea coming to mind would be Behaviours from ScriptRunner (groovy skills necessary)
In theory it might be capable of filtering options out from the field based on currentUser's group membership, haven't tried myself, though.
I have multiple projects that use variations of the same base workflow. The variations depend on the requirements of the project or issue type. The variations mostly come in the form of new statuses ...
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