You can eat it, but that's illegal. There is no impediment to your body, but you have impediment to the sparrow's body. Sparrow is a national second-class protected animal, now it is illegal to catch and sell, let alone eat. In August 2001, the state has listed sparrows in the animal protection catalog. Since then, any killing, selling and eating are illegal. Caring for animals and protecting the environment is protecting our own living space. Doing things according to the law is what every citizen of us should do.