Hello Kartsi and welcome to the forum.
No this does not work exactly like you are describing. The Zone 2 HDMI is an HDMI output so you would have to plug this into another HDMI input on another device (another receiver, tv, prepro) and then use that to then drive another amp. Think of it more as a HDMI matrix output. I would also read the fine detail to see if it will pass a 5.1 signal.