No. The official page keeps admissibility, vetting, eligibility for the assigned employment-based classification and visa availability as separate conditions. The ability to pay satisfies none of them.
What to ask before the fee is paid
Before paying a nonrefundable processing fee, ask questions whose answers do not depend on money. Has the applicant ever been refused a U.S. visa, overstayed, or had a criminal matter, however minor, that could raise an admissibility question?
Which employment-based classification is the programme expected to use for this applicant, and is that category current for the applicant's country of chargeability on the Visa Bulletin? What documents will USCIS request after the initial step, and can the applicant produce them? Hypothetical example: a Lévis reinsurance executive with a decades-old impaired-driving conviction assumes the gift makes the question irrelevant; it does not, and it should be assessed before the fee is spent rather than at vetting.
Ask counsel to review admissibility and classification first, then read the official page for the current terms, then decide whether to apply. The order matters because the fee, per the official page, is not returned.