This is not low carb
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.