Não. Os vistos dos EUA só podem ser concedidos fora dos EUA. Há uma exceção para diplomatas e para oficiais e funcionários de organizações internacionais que estão renovando um visto, mas isso não o ajudará em nada.
O regulamento relevante é encontrado em 22 CFR 41.111 . Também autoriza o chefe do departamento de vistos do Departamento de Estado a fazer outras exceções para certas outras categorias de não-imigrantes. Não sei se tais exceções foram feitas, mas, mesmo que tenham sido, elas podem não incluir candidatos a visto pela primeira vez, e F não está entre as categorias elegíveis:
§ 41.111 Authority to issue visa.
...
(b) Issuance in the United States in certain cases. The Deputy Assistant Secretary for Visa Services and such officers of the Department as the former may designate are authorized, in their discretion, to issue nonimmigrant visas, including diplomatic visas, to:
(1) Qualified aliens who are currently maintaining status and are properly classifiable in the A, C-2, C-3, G or NATO category and intend to reenter the United States in that status after a temporary absence abroad and who also present evidence that:
(i) They have been lawfully admitted in that status or have, after admission, had their classification changed to that status; and
(ii) Their period of authorized stay in the United States in that status has not expired; and
(2) Other qualified aliens who:
(i) Are currently maintaining status in the E, H, I, L, O, or P nonimmigrant category;
(ii) Intend to reenter the United States in that status after a temporary absence abroad; and
(iii) Who also present evidence that:
(A) They were previously issued visas at a consular office abroad and admitted to the United States in the status which they are currently maintaining; and
(B) Their period of authorized admission in that status has not expired.