Short answer. No. Claims for damages by either spouse may be litigated only in a separate action. The single exception is the costs of the proceedings. You do not lose the claim by leaving it out — you simply have to bring it in an ordinary case of its own.
What the law says
Claims for damages by either spouse, except costs of the proceedings, may be litigated only in a separate action.
Family Code, Article 240 — Damage Claims Are Litigated Separately. Read the full provision →
Why the rule exists
The proceedings this article belongs to are summary ones, designed to answer a narrow question quickly — whether a transaction may proceed without a spouse's consent, for instance, or which spouse may administer. Their whole value is speed. A damages claim would import into them everything that makes ordinary litigation slow: proof of fault, of causation, of the amount lost, and the extended hearings that go with it. Rather than let the petition turn into a full trial of the marriage, the Code sends the money claim elsewhere and keeps the summary case summary.
The rule cuts both ways
The article says by either spouse, and that is a protection as much as a restriction. The spouse who is answering the petition cannot respond with a damages counterclaim any more than the petitioner can raise one. So a respondent who expects to be met with a demand for compensation in these proceedings should read this sentence: the summary case is about the specific authorisation sought, and the court is not being asked in it to decide who wronged whom or what that was worth.
What 'separate action' means for you
Excluded is not extinguished. A claim for damages between spouses is filed as its own case, with the pleadings, evidence and full hearing an ordinary action requires. That is more work than tacking it onto a petition already pending, and it is also a decision worth taking on its own merits rather than as a reflex. Note the narrow exception in the article: costs of the proceedings stay where they are and may be dealt with in the summary case itself, so a request for costs is not caught by the prohibition.
Do not let the separate claim go stale
The practical risk in deferring a claim is that time runs while the summary case occupies your attention, and a claim for damages is subject to a prescriptive period that depends on what the claim actually is. So raise it with a lawyer at the outset, even if the intention is to file later. In the meantime, preserve the evidence — the documents, messages and records of the loss — because the summary proceeding will not create a record of it, and by the time the separate action is filed, memories and paper both tend to have thinned.