Yes, of course, as stated by others.
Somehow, someone misstated what to expect from the system. You cannot just take the panels rating, 320W in your case and multiply by number of panes. That is where your 12.16 kW came from. Will not happen with those inverters.
Also, don't forget that other calculations come into the system design. A 20A circuit has a limited amount of power over it.
A different inverter, large in your case with those panels, most likely would require fewer panels on a 20A breaker and more 20A breakers in the breaker panel. Perhaps the power company in your location may or may not allow producing more than 100% of your annual historical usage. Here in California at least my local power company has a max 110% limit. They just don't want energy production competition from its customers.
And to directly answer your question, yes, they would, at least that YC 600 would. But then, a system redesign is in order. Don't want you to replace those inverters as that would overload the 20A breaker.
Nothing is simple.
While I wouldn't otherwise replace the YC500s, since the installer didn't provide the microinverters as promised, I'm trying to figure the impact of me requesting an exchange for the YC600s. A whole new system design sounds deal-breaking. Looking at the spec sheets, the YC500 says "Maximum Units Per Branch 7 per 20A @ 240V; 6 per 20A @ 208V". I have 19 twin microinvereters (38 panels), not sure how they're broken up. I assume I'm at 240V. There are three 20A branches.
The YC600 specs are not presented the same. It just says, "Maximum Units per Branch 7 (14 PV modules); 6 (12 PV modules)." Could they just replace the YC500 with the YC600? See attached specs & install manual. Thanks.