No. Each person needs the appropriate actual permission. A first decision or group payment does not authorize everyone’s work or guarantee simultaneous outcomes.
Coordinate the plan using individual records
Follow official instructions after successful vetting and assess the remaining classification, admissibility and visa-availability conditions. A shared itinerary cannot supply an uncompleted immigration step.
Official material describes processing in weeks, which is a description and not a guarantee; a qualified estimate from someone reviewing your file is more useful than either optimism or a flat claim that nothing can be predicted. A framework in which vetting precedes the major payment gives an applicant a natural checkpoint, and anybody encouraging a departure from that order is asking the applicant to give up the one structural safeguard the process contains. Because the framework is recent and administered under an executive action, verify the terms on the official page immediately before committing money, and expect that a decision made on last month's reading may need to be revisited.
Recheck the framework before acting, particularly if the proposal or family circumstances change, and avoid locking in housing, employment, or school decisions around an assumed approval date. Where a family needs certainty by a specific date, that is a strong reason to have the conventional routes assessed in parallel, since TN, L-1, E-2 and EB-5 have published processing information and long records of practice.