Sure if you want to get sick, gain weight, get diabetes, have brain problems and be sick and unhealthy. Sorry, not trying to be sarcastic but soda is toxic. There is nothing DIET about it. You will suffer if you drink them, you will struggle losing weight and will get more ill as time goes on.
A strict low-carb diet is a diet that restricts carbohydrate intake. Foods high in carbohydrates (e.g., sugar, bread, pasta) are limited, and foods that are lower in carbohydrates are emphasized. The goal of a low-carbohydrate diet is to decrease the number of grams of carbohydrates consumed each day so that the body begins to use stored fat as its primary energy source. Most low-carb diets have been shown to promote weight loss and improve blood lipid levels.