We do have "shutdown timers" on the Fusion Brain already. If an output is on, it will turn off after a set amount of time. This time is programmable per channel. So it is possible by itself, but if the PC never turns on the output in the first place, the Brain cannot auto-turn it off after the timer ends.
Also CivicModz made a "eyeR Interceptor" which I believe is programmable. I have not yet played with one (we did not make it, and we do not support it), but I think I read it can be controlled via IR without the PC.
Check out the User Innovations subforum of the Fusion Brain and his thread is in there.
But to answer your original question, the Fusion Brain must be connected to a PC to be of any use as we provide it (including the shutdown timers)