No. Article 847 bis of the General Tax Code provides for an exemption from registration fees; in regard to the prior consent to be obtained by a notary (article 342-10 of the Civil Code).
As an extension of the bioethics law of August 2, 2021, which extends medically assisted reproduction for female couples and single women, the legislator has extended, as of January 1, 2023, this exemption to early joint recognition (article 26 of the Law of finances for 2023).