Legal Question in Credit and Debt Law in California

Yes, it's possible. Your spouse is also responsible for your necessaries of life while living together. So, if these debts are for those, then they could go after your spouse's separate property. However, if there is community property available and the creditor does not seize those but go after the house, your spouse can get reimbursement from you, such as in the property division at time of divorce.

https://www.lawguru.com/cgi/bbs/attyPages/liem.html

Note: The above response is provided for legal information only and should not be construed as legal advice, nor to create an attorney-client relationship, which can only be established through payment of consideration. We do not offer free advice except for the information provided herein on LawGuru which has been screened. If follow-up advice on your specific situation is desired, we offer a paid consultation in person if you are in the Los Angeles area, or by phone or email.