Learn Turkish: Ben hiç ikiyüzlü bir insan olur muyum? - Would I ever be a hypocritical person?

This is the core of rhetorical strong negation. By pairing hiç (ever) with the positive aorist question olur muyum? (would I be?), you are asking a rhetorical question where the obvious implied answer is 'No, never.' It is a much more passionate denial than simply stating Ben hiç ikiyüzlü bir insan olmam (I would never be a hypocritical person).

What is the literal meaning of ikiyüzlü?

It translates literally as 'two-faced'. It is formed by combining iki (two) + yüz (face) + -lü (the suffix meaning 'with' or 'having'). Just like in English, it is the standard word for 'hypocritical'.

Just as a refresher, why is bir placed after the adjective ikiyüzlü?

In Turkish, when an adjective modifies an indefinite noun, the article bir must go between the adjective and the noun. So 'a hypocritical person' is always ikiyüzlü bir insan. If you put bir at the very beginning, it emphasizes the number 'one' rather than acting as 'a/an'.

Why use the aorist tense (olur muyum) here instead of the future tense (olacak mıyım)?

The aorist is used for general truths and ingrained personality traits. By asking olur muyum?, you are not asking about a specific event in the future, but rather defending your general character: 'Is it in my nature to ever be a hypocrite?'