Add oats, coconut, protein powder, and chia seeds to a food processor. Pulse until only small bits remain (doesn't need to be totally powdered).
Add remaining ingredients and pulse until combined. Transfer to a bowl and use your hands or a cookie scoop to scoop out even portions, then squeeze them in your hands and roll into 1" balls.
If desired, drizzle melted white chocolate over top or roll in additional coconut flakes.
Place in a resealable container to set up for at least 1 hour before serving.