Workflows are not containers for issues, so your question does not really make sense as you've written it.
However, what you really mean to ask is "Can a user change the issue type of an issue without move permissions?" The answer is "maybe". They need one of the following:
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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