No, it is unlikely that you will be able to get a policy without a parent or legal guardian on your policy or signing for your policy.
An insurance policy is a contract and most states require someone at the age of majority (not a minor) to sign the documents to make them binding. Also, most carriers set underwriting restrictions so that the named insured is not under the age of 18.
On a typical policy you should report all persons fourteen (14) years of age and older living in the insured's household, whether or not they are licensed. These persons must be included in the rating or must be specifically excluded. The exception is typically a foster child in the household with a learner's permit.
You can buy an insurance policy and be the only named insured; however, due to your age your parent or legal guardian would need to sign the documents.
You can get a car insurance quote here to see how much it will cost. You can learn more about teen car insurance discounts, car choices and frequently answered questions.