No: an identifier is valid for one scheme only. Your household packaging falls under scheme 01, declared to your household packaging PRO; your professional packaging will receive a separate IDU, with code 02, after you join Citeo Pro, Léko Pro or Twiice. The 2 identifiers should share the same prefix, your SYDEREP registration number, as they do for the 715 companies that already hold the 2 identifiers.
Read the source article: French EPR registration number (IDU): how to get one