It seems unlikely because he is equated to Parabrahman in some places in the Ramayana.
Valmiki Ramayan: Uttar Kanda: Chapter 10 mentions Lord Brahma as lotus born:
Thus addressed by the Devas, Brahma, the Lotus born God told them; "O Devas, I have found a solution. Do thouh all leave without any worry." Saying this unto the celestials, the great God thought of the goddess Sarasvati Vagdevata().
Addressing the goddess the lotus born god said; "Do thou speedily repair to where Kumbhakarna is doing his penaces. Do thou enter his body and influence his tounge Hearing this she immediatly repaied to the spot where Kumbhakarna was doing his penaces.
Though in Valmiki Ramayana: Balakanda: Sarga 70, he is mentioned as manifested from the unmanifest Brahman directly:
From the unmanifest was born the eternal, the constant, the imperishable Brahma. To him was born Marichi and to Marichi, Kasyapa.
This is the case with other scriptures too. For example, in Kurma Purana, Lord Brahma is mentioned as Swayambhu (self born), Aja, Hrinyagarbha in one place but at another place as Padmayoni.
The reason for this is also given in Kurma Purana, it says that in the beginning Lord Brahma was self born but in one Kalpa he entered into Lord Vishnu's stomach and came out from his belly lotus. This is discussed in What is the history of Brahma's birth? post.