Short answer. Yes, if it fits the article's terms. The Labor Code lets an employee resign without any notice where the employer or a representative commits a crime or offense against the person of the employee or an immediate family member. A crime against the person of an immediate relative is one of the specific just causes it names.
What the law says
Commission of a crime or offense by the employer or his representative against the person of the employee or any of the immediate members of his family
Labor Code, Article 285 — Resignation By The Employee. Read the full provision →
A named just cause for resigning without notice
Article 285 allows an employee to put an end to the relationship without serving any notice on the employer where one of several just causes exists. Among them is the commission of a crime or offense by the employer or his representative against the person of the employee or any of the immediate members of his family. This covers exactly the situation you describe — a crime committed by your employer against your family member, not just against you personally.
Two qualifiers built into the text
Two words in the article limit its reach: the crime must be against the person, and the family member must be an immediate member of your family. "Against the person" points to offenses involving the victim's body or physical safety, as opposed to, say, a crime against property. "Immediate members" limits the family relationships covered — the article does not extend this ground to every relative, only to those who count as immediate family. The article does not extend this ground to a crime against your property, or to a crime against a family member who does not count as immediate — a cousin or in-law outside that narrower circle is not covered by this specific clause.
The employer or their representative, either one
The article covers a crime committed by the employer or his representative. It does not require the employer personally to have committed the act — someone acting as the employer's representative falls within the same ground. That widens who can trigger this cause beyond the business owner or top executive alone, to those acting on the employer's behalf, such as a manager or supervisor exercising authority in the employer's name.
What to hold on to
Because this ground depends on the crime being against the person of an immediate family member, keep whatever record exists of the incident — a police report, medical records, or any documentation showing what happened, who was involved, and the family relationship. That evidence is what establishes that the situation fits within this specific just cause rather than some other kind of dispute.