Short answer. Potentially yes. Article 282 extends its crime ground beyond the employer to any immediate member of his family, and a spouse falls within that description. Whether the ground actually applies still depends on what was done and on whether the offence was against her person.
What the law says
Commission of a crime or offense by the employee against the person of his employer or any immediate member of his family
Labor Code, Article 282 — Just Causes For Dismissal. Read the full provision →
Why the family is included at all
The extension exists because the employment relationship is one of confidence, and an offence against the people closest to the employer damages that confidence in much the same way as an offence against the employer himself. The article draws the circle at the immediate family, which keeps the ground from expanding to every relative with a connection to the business. A spouse sits at the centre of that circle. A distant cousin, an in-law with no household connection, or a shareholder who happens to be related, are much harder to place inside it.
The offence must be against the person
This qualifier is easy to read past and often decides the case. The cause speaks of a crime or offence against the person. That points to conduct directed at her physically or at her personal safety, rather than to every wrong that might be committed. Employers sometimes invoke this ground for disputes that are really about property, money or words exchanged in an argument. Whether what happened is properly characterised as an offence against the person is the first thing to work out, because if it is not, this particular cause does not fit however serious the falling-out.
Whether it happened at work is not the question here
Unlike the disobedience ground, which the article ties to lawful orders in connection with his work, the crime cause carries no such limitation on its face. An incident at a private gathering or away from company premises can therefore still be raised under it. That cuts the other way too: an incident away from work does not automatically become a just cause simply because someone senior was involved. The cause still has to be satisfied on its own terms — the person, the character of the offence, and evidence that you committed it.
What matters practically
Get the notice in writing and see which cause it names, and against whom. Establish her actual relationship to the employer, since the ground turns on it and family arrangements are not always what a company assumes. Preserve anything that records what happened — messages, witnesses present, any incident report — and keep your own copy of the explanation you submit. Where the same facts are also the subject of a criminal complaint, remember the two proceedings ask different questions, and take advice before making statements that will be read in both.