Absolutely. A thousand times yes.
After JFK was assassinated, President Johnson issued an executive order to set up what became known as the Warren Commission but what he called The President's Commission on the Assassination of President Kennedy.:
https://en.wikisource.org/wiki/Executive_Order_11130
Biden needs to do the same thing: The President's Commission on the ___ (insert name here) ____.
He looks to be having an aggressive agenda and will no doubt worry about "divisive" politics, but that's a silly argument in these divided times, especially with 100+ Benedict Arnolds running around the House of Representatives.
To prevent a circus atmosphere in the media, he can just order the Commission to not have open hearings (but make the transcripts available to the press).