Can wages be garnished in State of Texas for car repossession?

YES businessjournal.net txsheriffs.org Employer reimbursement for garnishment: Texas law now allows an employer to charge $10 per paycheck or the actual cost of processing of a garnishment of an employee's wages for such things as IRS liens, judgments, etc.

No, they cannot. Wages are exempt property in Texas under the property code and are not subject to garnishment.