Add pineapple chunks, ginger, turmeric, lemon juice, black pepper, and 1/4 cup water to a high-speed blender.
Blend on high for 30-45 seconds until completely smooth. If the mixture is too thick, add water 1 tablespoon at a time until it reaches a pourable consistency.
Strain the mixture through a fine-mesh sieve or nut milk bag into a bowl, pressing on the solids with a spatula to extract as much liquid as possible. Discard solids (or save for smoothies).
Pour the strained liquid into a small glass jar or bottle with a lid. Store in the refrigerator for up to 5 days.
To serve, shake well and pour 2 tablespoons (1 shot) into a small glass. Drink immediately, or dilute with a splash of water or orange juice if desired.