No. Family permissions depend on individual immigration status. TD does not authorize employment, including work assumed permissible merely because the employer is outside the United States.
Describe the spouse’s activity
Include remote work or a role with the same client explicitly. Ask whether an independent route is available on its own facts. Keep children’s study and age questions separate and do not assume the principal applicant’s assignment establishes permissions for the whole household. The dependent categories cover a qualifying spouse and unmarried children under 21. Check each person’s relationship, age and period of authorized stay rather than extending a permission from another household member.
Choosing TD because an offer has not arrived yet is reasonable, provided everyone understands what it means in the meantime: study is permitted, employment is not, and there is no blanket rule allowing work while a later application is pending. Confirm each family member's citizenship and civil documents early, since nationality determines which steps apply and marriage or birth certificates may need translation. A child's birth certificate is fixed once issued, whereas a spouse's identity record may change again between a first application and a later extension, so the chain assembled today can need one more link the next time status is sought.