Whisk yogurt, honey, matcha powder, and vanilla extract together in a bowl. Stir in coconut milk gently; whisk in chia seeds.
Cover yogurt mixture with plastic wrap and refrigerate until thick, at least 4 hours or overnight.
Place mango chunks in a blender; puree until smooth.
Pour yogurt mixture into 4 serving bowls or glasses; distribute mango puree evenly on top.