Yes, you can apply a winterizer fertilizer such as Scotts Turf Builder WinterGuard Fall Lawn Food at or around the same time as overseeding since there is no herbicide. This formulation is designed for established turf, but the boost of nutrients would only help the new seeding.
There are no product label restrictions for using Scotts Turf Builder WinterGuard Fall Lawn Food on properties with wells or cisterns. We recommend that you do not apply fertilizers, insecticides, or herbicides within at least 5-10 feet of a well to avoid risk of contamination, unless otherwise specified on the product label.
It is advisable to apply Scotts Turf Builder WinterGuard Fall Lawn Food in fall during the time when weeds are growing actively.