Can I have a sub sub site on multinetwork install

I have a fully operational multisite network running, thanks mainly to the plugins and support here.

Is the following possible...

I want to have say a College in the network with its own website, but I would also like various departments of the college, say Maths, Science and Languages to have their own independent sites within the main college website.

Therefore each department Maths, Science, and Languages would have their own admin panel and team of editors, while the main Administrator would be at the top College Level.

I suppose this is almost like a small multisite within a larger multiste - does anyone have any pointers on this?

Thanks