You can't "configure" this, the functionality is not there.
You'll need some code, but I don't think *just* a post-function will do it because the version field requires you to select a value from a list and has no functionality for adding new versions. You'll need to think of a way to catch the data from the user (e.g. another custom field where they can enter the name of a new version), and then create it and probably clear the custom field, and check the admin rights, and re-apply the new version to the issue. I'm afraid it's not as simple as it might seem.
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