You can always settle a lawsuit, and always compromise a debt, but whether the creditor will have any interest in doing that seems less likely since they've already had to sue you.
Sometimes creditors will make a deal because they'd rather get paid voluntarily than have to chase the debtor, especially when the debtor is moving around. Contact the creditor's lawyer and offer a payment plan that you can afford, see if they'll go for it. Remember that if you can scrounge up a lump sum now, they're more likely to accept a compromsied amount. Make sure if you settle, you get the terms in writing and that they agree to dismiss the suit with prejudice and to release you from any and all claims.
Yes, a judgment can be enforced in the state you're moving to, although it will require the creditor to "domesticate" (get the judgment recognized) in the new state.
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You might be able to leverage your position with the credit card company by explaining that if they will allow you to enter into a payment plan, then you have some friends and family that will help you to make the payments, but that if they obtain a judgment, that support will not be there and the credit card company will obtain nothing because you are essentially judgment proof.