No - if you signed the bond it doesn't matter whether you have a job or not - or whether the bondsman asked you if you did. You are liable as surety on the bond - having a job or not has nothing to do with your liability. Sorry.
When you work with a bail bondsman, you can remain anonymous if you wish. The only people who will know your name are the bail agent and the court. Your name will not appear on any public records associated with the case.
For example, in California, bail bond records are generally public and accessible via the Public Access to Court Electronic Records (PACER) system.
Bail information is considered public record in the State of California, meaning that anyone (not only defendants themselves) can request this info. The details can be accessed via the Public Access to Court Electronic Records (PACER) system or the Criminal Intake Section.
Generally speaking, bail conditions on felony OWI charges do not prohibit a person from leaving the state of Wisconsin. However, bail conditions do require that the defendant returns to court for all court appearances.