Not out of the box.
However this is the method that can be used to restrict who can edit fields, if you don't mind creating a button for editing the field. It requires you to create transitions for every workflow associated with the issuetypes you want the field restricted on. See instructions with pictures below.
Lastly, navigate to your edit screen and remove the fields you want to restrict. You will need to create separate "view"/"edit" screens for your screen scheme if you haven't already because you may want the restricted field to remain visible when viewing the issue.
Once all of this is completed, you should see the button like so.
Clicking on it will bring up a transition screen with the "restricted field" on it to which you can make changes and add a comment.
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