I can't see why it would work, the spec of the charger says:
Output Charging Terminals 1 and 2 : 16.8 V, 2.5 - 5 A meaning a wattage output of 84w. (16.8 X 5).
With the inverter outputting 200w, it's well within your limits. You'll be able to charge other things too at the same time.
Just be aware that the claimed output of things like this are only approximate, but you should be okay with that charger.
Hope that helps!
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