In a mixing bowl (having a spout is handy!), mix coconut milk, maple syrup, lemon juice and chia seeds. Whisk until completely combined.
Refrigerate for 20 minutes (so chia seeds can thicken).
Place a few berries at the bottom of the Popsicle mold and pour in coconut milk mixture, filling 2/3 full. Add the rest of the berries to the mold until they are almost full.
Add the Popsicle sticks, cover and freeze for at least 6 hours.