Not offhand, not without searching. Sadly, my legal career has not taken me to the Supreme Court. I had a case last year I thought might be my ticket there, but we settled, so that chance went goodbye. But I have read transcripts from oral argument, and those are available at some point not too long after the hearing. If it's a big case, the legal press probably gets it the same day. The litigants could make their own transcripts. So, search away and see if you find anything.
Thanks. Maybe a legal person might have better luck with searching though.