Yes, you can eat a shrimp head, and in many cultures, it is considered a delicacy. The shrimp's head contains a good amount of flavor, and some people enjoy consuming it along with the rest of the shrimp. When cooked, the head can become soft and filled with juices, making it quite flavorful.
In some dishes, especially in Asian cuisine, shrimp heads are left intact to enhance the overall taste of the dish. For example, in dishes like "ebi fry" (breaded and deep-fried shrimp), "shrimp tempura," or "shrimp stir-fry," the head is often left on to add more depth to the flavor.
If you're new to eating shrimp heads or are unsure about it, you can give it a try in a reputable restaurant or under the guidance of someone familiar with eating them. However, it's essential to remember that some people might have allergies or sensitivities to certain components of shrimp, so be cautious if you have never tried them before. Also, if you're unsure about the safety of consuming the head due to potential contamination or other health concerns, it's best to consult with a local food safety authority or a knowledgeable chef.