Yes. Kentucky law, specifically the Kentucky Civil Rights Act, prohibits employment discrimination.
KRS 344.040 makes employment discrimination unlawful as follows:
It is an unlawful practice for an employer:
(1) To fail or refuse to hire, or to discharge any individual, or otherwise to discriminate against an individual with respect to compensation, terms, conditions, or privileges of employment, because of the individual's race, color, religion, national origin, sex, age forty (40) and over, because the person is a qualified individual with a disability, or because the individual is a smoker or nonsmoker, as long as the person complies with any workplace policy concerning smoking;
(2) To limit, segregate, or classify employees in any way which would deprive or tend to deprive an individual of employment opportunities or otherwise adversely affect status as an employee, because of the individual's race, color, religion, national origin, sex, or age forty (40) and over, because the person is a qualified individual with a disability, or because the individual is a smoker or nonsmoker, as long as the person complies with any workplace policy concerning smoking; or
(3) To require as a condition of employment that any employee or applicant for employment abstain from smoking or using tobacco products outside the course of employment, as long as the person complies with any workplace policy concerning smoking.