It is possible to apply for asylum in another state when escaping a natural disaster, depending on the state's laws and policies. Every country has different laws regarding asylum seekers and refugees, so it is important to check the laws of the country you are considering relocating to before making any decisions. It is also important to remember that most countries have strict requirements in order to be granted asylum, including demonstrating that you have a well-founded fear of persecution in your home country and demonstrating that you meet the United Nations' definition of a refugee.