Could the messiah be the messiah without knowing he’s the messiah?

COULD THE MESSIAH BE THE MESSIAH WITHOUT KNOWING HES THE MESSIAH (OR JEWISH)?

hi guys. i was thinking about judaism and more specifically about the messiah so its a bit of a halakha related question.

it’s said that he would fulfill some prophecies. it’s also written that he would be a jew and a direct descendant of the king David. This would mean that one should have a jewish dad (so his tribe is directly the same of King David) and a jewish mom (so that he’s religiously jewish). My question is (i think the answer is yes but im not really sure): is it possible (i know it’s very very unlikely near impossible) that a person which has a jewish dad (from the tribe of Judah) that doesn’t know he is jewish and a jewish mother that doesn’t know she’s jewish, could actually become the Messiah? If a jew doesn’t know he’s a jew for halakha he’s still jewish. The messiah has to fulfill some prophecies, so if this jew that doesn’t know he’s a jew actually finds a way to fulfill those prophecies (without even knowing what the prophecies of a jewish messiah are and just fulfilling them with pure coincidences (and His will))without ever living a jewish life, could he still be considered the messiah?

Thanks, was just wondering this and had this question stuck in the back of my head for a few hours and then i remembered Reddit.

P.S.: this could be total nonsense and i could be wrong about everything i was just wondering.