No. You can keep more than one insurance policy unless doing so is prohibited by state or federal law. Insurance coverage is a personal choice and you must decide what coverage is best for you. See information on Coordination of Benefits (COB) at https://www.tn.gov/partnersforhealth.html. Look under Health Options and Carrier Information. There’s a COB section at the bottom of the page. Also, look under Publications and Medical Plan Documents. You can scroll through the documents until you reach Section 5, or you can word search for “coordination” to navigate to the specific section dealing with coordination of benefits.