No. The employer’s selection is a private decision. The government still determines classification and applies eligibility, admissibility and visa-availability conditions.
Identify what the offer actually establishes
It may show the employer’s intended sponsorship and financial commitment. It cannot establish that the person has passed vetting or received immigration approval. Keep those distinct decisions visible in the file.
The executive order and program materials describe a mechanism in which a gift to the U.S. government is treated as relevant to eligibility under existing immigrant provisions, subject to the determinations the government makes. Under the current official framework, a corporate sponsor applies for an employee, pays the per-employee processing fee and gift, and the sponsored employee may receive lawful permanent resident status through EB-1 or EB-2 if otherwise eligible, admissible, and a visa is available. On the official description the fee starts an application and vetting; permanent residence follows only if the applicant passes vetting, makes the gift and qualifies under the EB-1 or EB-2 immigrant categories, including ordinary admissibility rules. The official material describes reusing a corporate gift for a new sponsored employee subject to a transfer mechanism, a stated fee, and fresh screening, so counsel should verify the current conditions for both individuals.