No. The 1099-INT is entered in the federal review under income and expenses.
If you have two state returns, that means you either have one resident and one non-resident or two part-year returns. Depending on which type of returns you file, TurboTax will determine which state return the 1099-INT would be reportable. You would not pay 1099-INT to both states. Normally, it would be the state of your primary residence.
