No. Completing one requested step is not proof that all eligibility, admissibility and visa-availability requirements have been resolved.
Check what remains in the actual case
Coordinate continuing care and travel using verified case information. Do not promise a decision date from an appointment date or treat a private coverage start date as permission to enter for permanent residence.
Coordinate the proposed employment and household plans around the actual case progress. Do not guarantee that prior sponsorship shortens every stage or that the former employee’s timeline applies to another individual. Check the official program page for current statements about processing, and note the date on which you checked. Schedule medical, visa, travel, or document events when the responsible authority’s instructions make them appropriate, leaving flexible arrangements where possible. EB-1 or EB-2 supplies the classification basis, while admissibility and visa availability also remain; this is not EB-5. Where a broker is applying pressure to move quickly, that pressure is itself a reason to slow down and check the official source again. Whatever route is chosen, residence arrives only after the EB-1 or EB-2 process and visa availability, not on the day money is paid.