Welcome to the forum, Spencer!
Yes, there are speaker switch boxes available, and they aren't very expensive. You'll want to get one with impedance matching to help protect your receiver in case you toggle on so many sets that the impedance of the load drops down and it tries to supply too much current (although, the Sony may have a protection circuit to take care of itself - a lot of receiver do these days).
As just some examples of switches that may work for you, here are two from Monoprice that can handle at least five sets of speakers:
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6-Channel Speaker Selector
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8-Channel Speaker Selector
Because the Sony can run two sets of speakers at the same time (A and B front channels), you could hook up a switch to both sets if you wanted. Also, you could have the A pair always running in your main area and then toggle between others with the switch hooked up to the B outputs. So many options.
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