Pour the coconut water into your blender and add the dates. Blend on high for 30 to 60 seconds, until the dates have broken up.
Scrape down the sides of the container, then add the chia seeds and half of the berries. Pulse on low a few times, just to break up the berries.
Add the remaining raspberries and pulse a few times on low if you want to get a thick, chunky consistency. Blend for longer if you want a smoother consistency.
Chill in the fridge for 30 minutes. The chia seeds will thicken the jam, and the flavors will develop (see "Notes" below).