Measure out the frozen pineapple chunks directly from the freezer (do not thaw), break the banana into a few pieces, measure the coconut milk and Greek yogurt, squeeze the lime juice, and grate the fresh ginger if using.
Add liquids first: pour in the coconut milk, lime juice, and Greek yogurt, then add the banana and ginger, and finally place the frozen pineapple chunks on top along with the honey or maple syrup if using.
Secure the lid, start on low speed for 10 seconds, then increase to high and blend for 45 to 60 seconds until completely smooth; if the blender stalls, add coconut milk one tablespoon at a time and push ingredients down with a spatula.
Taste the smoothie and adjust as needed: add honey if too tart, more lime juice if too sweet, extra coconut milk if too thick, or a few more frozen pineapple chunks if too thin, blending briefly after each adjustment.
Pour into tall glasses, scraping the blender clean with a spatula, and serve right away garnished with a fresh pineapple wedge, a sprinkle of toasted coconut flakes, or a slice of lime if desired.