Probably not. Under TITLE 1.81.48:

“Data broker” does not include any of the following:

(1) An entity to the extent that it is covered by the federal Fair Credit Reporting Act (15 U.S.C. Sec. 1681 et seq.).

(2) An entity to the extent that it is covered by the Gramm-Leach-Bliley Act (Public Law 106-102) and implementing regulations.

(3) An entity to the extent that it is covered by the Insurance Information and Privacy Protection Act (Article 6.6 (commencing with Section 791) of Chapter 1 of Part 2 of Division 1 of the Insurance Code).

(4) An entity, or a business associate of a covered entity, to the extent their processing of personal information is exempt under Section 1798.146. For purposes of this paragraph, “business associate” and “covered entity” have the same meanings as defined in Section 1798.146.

<https://leginfo.legislature.ca.gov/faces/codes_displayText.x...>

Credit bureaus are, I think, covered as item (1).