No (see above note?). A few candidates do come to mind, though:
1) Na’aseh adam b’tzalmeinu kidmuseinu.
(First recorded question in Chumash.)
2) Af ki omar Elokim “Lo sochlu mikol etz hagon”.
(First question in the world recorded in Chumash.)
3) Ayeko.
(Hashem’s first question to a worldly being recorded in Chumash.)
4) A question in one of the above categories which preceded the first question in that category in the Chumash, but is not in the Chumash, only in another source.
(edited)