Legal Question in Family Law in California

No, the grounds for annulment are very limited. Annulment generally only applies to marriages that were void from the outset, such as due to one of the spouses still being married to someone else, or one of the spouses lacking the mental capacity to consent to marry. You can file for divorce for that reason, or any reason actually, since California doesn't require any reason other than "irreconcilable differences" to get a divorce.