multiple Recievers to 1 set of Speakers

I have a set of Polk SDA-SRS that I have connected to a old Pioneer Spec system that sound great! I bought a newer Yamaha receiver amp for the TV concerts and want to run to the speakers, BUT when i use a speaker switcher, it takes away power ot the speakers from the old Spec system. Can i run 2 separate sets of wire from each reciever to the speakers together without damaging either of the amp systems or/ the speakers?

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