No. – Fructose is not allowed on the slow carb diet, except on your Cheat day.
All fruits, in general, are not allowed on the slow carb diet, except on your Cheat day, with the exception of Avocados (limited to 1 Cup/day) and Tomatoes.
On your Cheat day, Grapefruit Juice (organic) is recommended to maintain a steady blood sugar level, preventing insulin spikes.