Without knowing the details of your return and your income amounts, that question cannot be answered with any certainty.
If you are a KY resident, your filing requirement will depend on your Federal Adjusted Gross Income and adjustments that KY takes into account. The best way to know whether you need to file a KY return is to complete your Federal return using TurboTax and then rely on the advice of TurboTax to let you know if you are required to file a KY return.
To see the filing requirements for yourself, see page 11 of the PDF document in the following link: KY Form 740 Instructions