Sure, you're free to inquire.
If your citation was for speeding, disobeying a traffic control device, or most other traffic citations; getting a DEFERRED ADJUDICATION is often ask and you shall receive.
However, with a DWLS (and not your first rodeo), you never know.
You see, sometimes you need to convince the prosecutor to reduce the charge to a lesser or included offense together a DA.
You might ask if you qualify for a public defender.
Worst case, you can always request a continuance of six or seven weeks to get enough money together to retain an attorney.