Thank you. Generally speaking, no, because garnishment is not allowed in Texas. Texas prohibits wage garnishment entirely for most debts. But your wages can still be garnished to satisfy debts for child support, alimony, taxes, and student loans.
Bank accounts CAN be garnished and levied. Only if the income itself is exempt (such as Social Security income) can they not levy / garnish the bank account, but the bank account would need to be put on notice regarding that fact. Otherwise, it's still possible that this could happen.
Now the company can't do this with JUST a judgment. Rather, they have to have what's known as a "writ of garnishment" or "writ of attachment", etc... to be able to do so, and can only do so within the confines of that document. So technically they need more than just the judgment, but they can still get such a writ from the court.
Hope that clears things up a bit. If you have any other questions, please let me know. If not, and you have not yet, please rate my answer AND press the "submit" button, if applicable. Please note that I don't get any credit for the time and effort that I spent on this answer unless and until you rate it positively (3 or more stars). Look for the stars on your screen (★★★★★). Thank you, ***** ***** luck to you!