Did you mean to have a forum on MTChat? Or did you mean to moderate one? The answer to both questions is no.
Andrews has had a forum on MTDesk for years--long before internet technology enabled the school to host its own boards and way back when they were one of the only distance-learning MT schools. It grew out of the necessity to have a topic-related forum, so that discussion wouldn't be mixed into other forums, just as there are topic-related forums for other things.
The volunteer moderators you see there are just that . . . volunteers. They are individuals who donate their time. Typically, they moderate a forum in which they have a particular interest or expertise, whether it be a school, style and grammar, hot topics, new MTs, or whatever.
Neither is related to whether someone is a sponsor of MTDesk itself. To understand that concept, you have to be aware that MTChat is a part of MTDesk, which is a web-based resource for transcriptionists. The sponsors assist in funding MTDesk so that it can remain a viable and valuable resource for MTs.
Other schools who have asked for forums have gotten them, so if you'd like one for your school, why not ask?
As for moderating a board, I think you have to be in the "icon" class to do that.(You'll notice I'm not a moderator over there, and that's why.)