Yes. According to Article 10 of the Trademark Law, it is not illegal to have a five-pointed star on a product. The five-pointed star can appear in the pattern of the trademark. The five-pointed star is a graphic element and is not prohibited from use, but the logo is the same as the People's Republic of China ** *Anything that is identical or similar to the country's name, national flag, national emblem, national anthem, military flag, military emblem, military anthem, medals, etc. shall not be used as a trademark. Therefore, a hat with a five-pointed star can apply for a trademark.