Yes and no; since keto is defined as a type of a low-carb diet. However know that low-carb is a vaguely defined term that applies to any diet where carbs are limited and reduced.
Keto is one of the stricter types of low-carb diet so think of low carb as a broad all encompassing term. Low-carb can mean anything from 20-26 g net carbs per day (strict keto) to a higher 110-130 net carbs per day.
For example our FB group is called Low Carb Keto Recipes so think of low carb as the interest group and keto as the specific.