Hoo boy... no, they can't order child support from two people (at least not in the US.) But that also makes your chances of getting visitation even less.
Here's how I see it: you're already in another country, so presumably you took all your stuff, and you must not have any major pieces of shared property like a house or car. So just walk away. Let her file the divorce papers in absentia, let her pay her lawyer to do everything. You don't have to hire a lawyer at all, as long as you're not trying to fight for anything.
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