No. – Acai Berries are not allowed on the slow carb diet.
Fruits, in general are not allowed on the slow carb diet, except on your Cheat day, with the exception of:
Avocados (up to 1 cup/day) and Tomatoes.
On your Cheat day, organic Grapefruit Juice and Lemon Juice are recommended for the maintenance of blood sugar, and prevention of insulin spikes.