No, you can't do this without a bit of thought and code.
If the priority is on-screen to be set, then the user can set it. Jira does not do "field level security", so it's either there, or it's not. Doesn't matter who the user is.
Another option is to place it on screen and then find/write a post-function or listener that will look at the user and set the priority appropriately as they complete the creation.
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