No. Foreign nationals holding such a title (or any title other than i. a resident card valid for 10 years, ii. a "merchant" visa or iii. a talent passport for business creation) cannot combine it with a corporate mandate.
However, they may become partners without the need to obtain a specific administrative authorization. He/she is not required to have a residence permit or to reside in France or the European Union (this is only required to become the company's Chairman, Chief Executive Officer or Deputy Chief Executive Officer).
Thus, you are free to act as an investing partner with your current visa. However, in order to act as an executive, you will have to wait for your application for a resident card (or any other visa allowing you to exercise such a role) to be validated.
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