Regular yogurt will contain carbs, and low fat will contain more. This might be fine if your goal is low fat, but if you are restricting carbs, this is a poor choice.
17.2 Carbs in 1 cup of yogurt, plus honey. A Tablespoon of honey has some 17 carbs. 17.5 carbs in a cup of blueberries.
Do the math, and this recipe includes 12.9+5.6+35.6=54.1 net carbs. I removed the fiber already. Four servings, so will have 13.525 grams of carbs.
This is not low carb, sorry.