Combine coconut flakes with lime zest. Toast in a small skillet or in a toaster oven until coconut is golden brown remove from heat to a plate and reserve. Add lime juice, water, sugar and ginger to the pan or a small sauce pot. Bring to a bubble and dissolve the sugar. Remove syrup from heat and let stand.
Cut pineapple into bite-size chunks and arrange on a plate. Peel and slice the kiwi into thin disks and arrange on pineapple. Scatter lime-scented toasted coconut over the fruit and drizzle the syrup down over the fruit in a slow, even stream.