No, your child can obtain Canadian citizenship before that recognition if:
the adoption meets the requirements of subsection 5.1(3) of the Citizenship Act; and
the Québec government confirms that the formal recognition is the only part of the adoption process still to be completed.
Please note that a Québec court must formally recognize the adoption for it to have effect in Québec only if the sending country has not ratified the Hague Convention. This is not required in cases where the sending country has ratified the Hague Convention.
The Secrétariat à l’adoption internationale (SAI) is the authority responsible for intercountry adoptions in Québec.