Preheat your oven to 350°F (175°C) and line a baking sheet with parchment paper. Cut 2 ounces of cream cheese into 10-12 small blocks (about 1/2-inch cubes) and keep refrigerated until ready to use.
In a medium bowl, whisk together 1/4 cup Greek yogurt, 1 egg, 1 tablespoon light olive oil, 1 tablespoon honey, and 1 teaspoon apple cider vinegar until well combined and smooth. Add 1-1/2 cups almond flour, 1/3 cup tapioca flour, 1/2 teaspoon baking powder, 1/4 teaspoon baking soda, and 1/4 teaspoon salt to the wet ingredients. Mix with a spatula until a sticky dough forms. The dough should be sticky enough to cling slightly to your finger but still easy to scoop and shape.
Lightly oil your hands to prevent sticking. Use a medium cookie scoop or spoon to portion the dough into 10-12 equal pieces. Roll each portion into a smooth ball, then gently press it into your palm to form a disc. Place a cream cheese cube in the center of each disc and fold the edges of the dough around it, pinching to seal completely.
Place the sealed bagel bites on the prepared baking sheet, seam side down. Brush the tops and sides with egg white, then sprinkle with everything bagel seasoning. Bake for 14-16 minutes until the bagel bites are golden brown on top. Let cool for 5 minutes before serving.