No. Paying the fee starts vetting under the framework as published; it does not set an arrival date. The successful case remains subject to the connected immigrant category's requirements and visa availability, and the page's processing language should not be treated as a guaranteed timeline.
A payment starts a process; it does not book a date
The official page, as re-verified on 2026-09-08, describes payment of the nonrefundable processing fee, USCIS-facilitated vetting, a gift request after successful vetting, and then EB-1 or EB-2 permanent-residence processing subject to eligibility, admissibility and visa availability. Although the page says processing should be expedited, it does not guarantee an arrival date.
The couple should therefore not sell their house, give notice on a lease or ship belongings on the strength of a payment receipt. They should keep the family-based route through their daughter under separate review and re-check the official terms before each payment or irreversible step.