You can't do it via configuration. You can find addon for that.
Edit: You can only edit fields that are showing on subtasks https://confluence.atlassian.com/adminjiraserver070/configuring-sub-tasks-749383568.html
The app Elements Copy & Sync could help you with that. Elements Copy & Sync allows you to configure Data panels for your linked issues, and you can specify which fields are displayed.
In this example, we've created three panels to organize linked issues by their status (To do, in progress, done), and then for each status different information is displayed. Besides the summary there is just one field in this example, but you could have more.
You can get more details about how the configuration for Data panels works here.
Hope that helps!
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