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:
Hi everyone 👋, I really like the format of the webinar opportunities summary that @Jimmy Seddon posts monthly on the Welcome Centre group. It's a great place to go to check that you didn...
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