I think the answer is no. As a workaround, you can create a page with the user list macro to show who belongs to each group, but an individual person would have to search for her name to find out which groups she belongs to. There is also an open suggestion here that you can vote for and watch:
I'm John Allspaw, co-founder of Adaptive Capacity Labs, where we help teams use their incidents to learn and improve. We bring research-driven methods and approaches to drive effective inciden...
Connect with like-minded Atlassian users at free events near you!Find a group
Connect with like-minded Atlassian users at free events near you!
Unfortunately there are no AUG chapters near you at the moment.Start an AUG