Entropy definitely gives time a clear arrow/direction (why we remember past but not future), but entropy itself is statistical/emergent from many particles.

So we might have time's flow emerging from quantum correlations while time's direction remains real due to thermodynamic entropy. It's like asking if "up" exists, gravity creates real directional asymmetry even though "up" emerges from mass distributions.

Maybe time's arrow is real even if time's existence is emergent? Though honestly this is where my physics knowledge hits its limits!