There is no possibility to return Jira issue key from a search in a separate field (neither advanced search nor EyeQL search).
However, if what you need exactly is a list of commits related with a Jira issue, you can try to use undocumented REST API (it's an API used by Jira 'development panel' to obtain list of commits and branches from Fisheye):
Hello Community! Quick disclaimer: We are running a contest on Community (The Atlympics!) from July 23rd - August 8th of 2021. If you are interested in participating in this contest (prizes! ...
Connect with like-minded Atlassian users at free events near you!Find an event
Connect with like-minded Atlassian users at free events near you!
Unfortunately there are no Community Events near you at the moment.Host an event
You're one step closer to meeting fellow Atlassian users at your local event. Learn more about Community Events