There is no definitive answer to this question as it largely depends on the specific business, its pricing and production strategies, and the local market. However, in general, embroidery businesses can be profitable if they are well run and offer quality products and services. Hats are a popular item for embroidery, so a business that specializes in this type of work could potentially be very successful. It is important to keep in mind, however, that competition can be fierce in this industry, so it is essential to find ways to set your business apart from the rest.