In Phase 1, no, because an avocado is a fruit.
In Phase 2, in a 100g portion of avocado, there are 15g of fat and 9g of carbohydrate. Avocados are, therefore, higher in fat than carbs, but have quite high levels of both. This means you should eat them in moderation in Phase 2 and have them as part of a fat meal on the occasions when you do have them.
In Phase 3, they are a healthy cheat. There are some great nutrients in avocados – they are one of two fruits with a fat content (the other being olives) and therefore have some useful fat soluble vitamins – vitamin E especially.