The night before, mix the chia seeds with the milk, yogurt, and vanilla in a single serving glass, filling the glass about halfway to save room for the toppings. You may need to experiment with the ratios of milk and yogurt to get the consistency you like.
Refrigerate overnight.
In a small saucepan, simmer the 4 oz of fruit with the 1/2 tsp chia seeds and 1 Tbsp of water for 5 minutes, stirring well, until it is the consistency of loose jam.
Transfer to a small bowl and refrigerate overnight.
In the morning, layer your pudding, compote, berries, and additional yogurt if desired. You could layer everything the night before too, but it will mix together more. If you care about the presentation and the layers being more visually distinct, this layers best after refrigeration.