The answer is probably. It all depends on Kentucky weather and the type of grass you intend to plant. Cool season grass such as tall fescue will take approximately 12-14 days to germinate. Power seeding will get the seed where it needs to be and as you stated the ground is warm so you should be successful. But our average frost date is October 15th, (two days ago) and a frost would slow new seedling growth down. The goal is to get a strong root system with enough top growth to survive the winter which is why September is the suggested time to reseed lawns.
I would go ahead and power seed, especially if you have a fescue blend and it could be done immediately. For additional information click on the links below.
Calendar for home lawn care: http://www2.ca.uky.edu/agcomm/pubs/agr/agr55/agr55.pdf
Lawn establishment: http://www2.ca.uky.edu/agcomm/pubs/AGR/AGR50/AGR50.pdf
Feel free to contact our office if you have other questions.
Let me know if I can help you further!
Jefferson County Cooperative Extension Service
200 Juneau Drive
Louisville KY 40243