No. Paying an amount, even the correct one, does not create eligibility. Permanent residence still requires that you are eligible and admissible and that a visa is available in the EB-1 or EB-2 category determined for your case. The gift is evidence supporting the case, not approval of it.
Two questions that look like one
A payment demand asks whether you complied. The immigration file asks whether you qualify. In a hypothetical case where a Florida-based intermediary insists a transfer today will 'lock in' a place, neither the transfer nor a receipt confirming it grants residence or permission to work.
Nor does a funding receipt or a petition approval notice by itself. Admissibility is examined through vetting and the process, not only at an interview. Notice what a payment demand does not mention.
It will not tell you whether you are admissible, whether the category determined for your case has a visa available, or whether vetting has concluded, and those are the things that decide the outcome. Ask the issuing agency what stage the case is at, in its own words, and compare that with what the sender claims. Keep every oral assurance in a dated written note, since a representative's statement may become relevant later and memory will not serve.
Where an intermediary offers to hold the money or to pay on your behalf, ask why the payment would not go directly, and treat an unsatisfying answer as a reason to stop rather than a detail to clarify afterwards.