Place large sieve or fine-mesh strainer over a deep bowl and lay muslin cloth or several layers of cheesecloth in the sieve with edges hanging over the sides.
Pour 2 cups plain whole milk yogurt into the cloth-lined sieve and fold cloth edges over the yogurt or tie together at the top.
Refrigerate and allow yogurt to strain for 35–45 minutes until all excess water has drained through and approximately 1 cup of thick dense strained yogurt remains — do not skip or rush this step as it determines the final frozen texture.
Transfer strained yogurt to a clean mixing bowl and add 1 tablespoon honey and chopped mango chunks.
Mix well until evenly combined and mango pieces are distributed throughout the yogurt mixture.
Line a flat baking sheet or tray with parchment paper.
Using a large spoon or ice cream scoop portion the yogurt and mango mixture into 5–6 equal clusters on the parchment paper — each cluster should be approximately one generous rounded tablespoon forming an organic slightly irregular mound shape.
Space clusters apart so they are not touching each other.
Place tray in freezer and freeze for 4–6 hours until clusters are completely solid all the way through — do not rush as partially frozen clusters fall apart during chocolate dipping.
When clusters are fully frozen place finely chopped white chocolate and sunflower oil together in a microwave-safe bowl.
Microwave on high in 30-second intervals stirring thoroughly after each interval until chocolate is completely melted and smooth — do not microwave continuously as white chocolate scorches easily without stirring between intervals.
Add 1 tablespoon matcha powder to melted white chocolate and whisk vigorously until completely smooth with no lumps remaining and chocolate has turned a beautiful uniform green color.
Allow matcha chocolate mixture to cool to just above room temperature before dipping — very hot chocolate melts frozen cluster surface and prevents clean even coating.
Remove frozen clusters from freezer and work quickly one at a time.
Lower each frozen cluster into matcha white chocolate using a fork — tilt bowl to submerge completely and coat on all sides.
Lift cluster out using fork and gently tap fork against side of bowl to allow excess chocolate to drip off — aim for thin even coating not thick heavy shell.
Place each coated cluster back on parchment-lined tray.
Once all clusters are dipped place tray immediately back in freezer.
Freeze until matcha white chocolate shell is completely set and hard — approximately 20–30 minutes.
Serve directly from freezer — allow to sit at room temperature 2–3 minutes before eating for best texture.