Nope, Chutkan placed everything on hold and nothing moves forward until she says. Its the holiday, she will not rule until next week at the earliest, or possibly until next year. I believe the question of immunity now needs to go to the appeals court. Delay is good.
Chutkan had no choice but to put the trial on hold, as Trumps appeal to the next higher court(don't remember which one), above Chutkan, once they took the case, automatically, takes the case out of her hands. She can do absolutely nothing, until the higher court rules. That is why Jack Smith appealed to the US Supreme Court, trying to jump ahead of the next higher court, so, he could keep the trial on schedule for March 4th.
He Failed