Should you attempt to pay on a judgment that has already been filed with the court?

It's worth a try but....If a creditor has sued and been awarded a judgment they will take measures to collect on it. Depending on the circumstances it could be wage garnishment, bank levy, liquidation of property, lien on real property, and so on. The possibility of "making a deal" is dependent upon what the creditor can obtain via judgment collection. Obviously if they can get more money,(or the entire amount) than dealing with the consumer they will not be open to negotiation.