No. The official FAQ describes a separate US$15,000 processing fee and a separate US$1 million gift for each accompanying spouse and unmarried child under 21. The household total is calculated per person, and each family member must be independently admissible.
Each family member carries a fee and a gift of their own
Employment-based immigrant categories ordinarily allow a spouse and unmarried children under 21 to immigrate as derivatives of the principal on a single petition, with only their own visa and medical fees to pay. The Gold Card framework, as published on the official FAQ, layers its own per-person amounts on top of that: each joining spouse and child is listed with a US$15,000 nonrefundable processing fee and a US$1 million gift. A veterinarian with a husband and two children should therefore calculate four fees and four gifts, not one, and confirm that arithmetic against the page on the day she applies.
The immigration side is unchanged by the payment: each family member must clear the medical examination and admissibility review, a child who turns 21 or marries before the visa issues stops being a derivative under the usual rules, and derivative status carries no separate work restriction once permanent residence is granted. Whether a later separate petition for a child makes more sense is a question of arithmetic and ages.