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Sure! Many 220v Inverters are available.
Call http://www.bdbatteries.com for a custom quote.
However, based on physics, every time you do something, you create drag, and inefficiency that eventually results in loss. So you might want to remove a few parts from your proposed setup.

THE SETUP YOU PROPOSE AS I SEE IT...

Solar --> Charge Controller --> Battery --> Inverter 220v--> Charger --> Battery

The problem, heat, loss, and so on. Here are 5 examples:
1 Solar is 90% efficient usually. Sticker says 200 watts, count on 180
2 Wires drop the voltage a bit, less than 5% each time. You have 5 connections above, that compounds.
3 Chargers are 95% efficient at best
4 Inverters are 95% efficient at best
5 High efficiency AGM batteries are 80-105% efficient, flooded lead acid are 60-80% efficient.

Now that doesn't sound like much loss, but it adds up, check it out.

200w solar =180w output.
180w -3% wire loss to Charge Controller = 175w
175w through charge controller at 95% = 166.25w
High efficiency batteries catch that power at 90% efficiency = 149.62w
Inverter gets 95% efficient transfer from that 149.6w = 142w
Wires drop on the way to charger of 3% = 138w
Charger then charges at 95% efficiency again with 138w = 130w
Batteries again catch only 90% leaving you 117w

117w/200w = 58% efficient system.
You can do better by dropping the second charger, or adding a generator.

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Q: Can you generate power from solar panel to charge a battery then use inverter to up to 220v ac also drive a battery charger to charge baterys again?
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