It is voluntary and dependent, on the justice themselves, though I'm sure Chief Justice Roberts would pressure a liberal justice with conflict (though never a conservative).

It would likely take time before the USSC would hear a case, even if expedited, but the pressure would be on Congress to impeach in the meantime. All this coming before the election would be quite the chaotic CF.

They are in recess. So, this would not happen until next year. Next term will start this fall, late October or early november.