No, milk is generally considered vegetarian.
Milk comes from animals, primarily cows, but it is not the flesh or body of the animal. Vegetarianism typically avoids consuming animal flesh. Since milk is a product of an animal rather than from an animal's direct body, it falls within the guidelines of many vegetarian diets.
It's important to note that some vegans choose not to consume milk due to concerns about animal welfare practices in the dairy industry. However, from a purely ingredient-based standpoint and the traditional definition of vegetarianism, milk is a vegetarian food.