Not exactly. The process is controlled by the commanding officer, the tribunal chair.
As you would expect in all the disciplinary matters, the commanding officer has to be in charge. Essentially, it's a process whereby the unit, often represented by folks like the company sergeant-major or the coxswain aboard a ship, will present the evidence, if you will, from the unit's perspective. But on the contrary, the accused has a right to request witnesses, unless it causes hardship. If you're in Afghanistan and you want to have a witness flown all the way over for your boots not being shined properly, there may be some discretion.