K-Mart, no.
Plenty of old-spec oil at premium prices, though.
Target from to time will have really good closeout pricing on oil.
Nothing at the local Targets at the moment.
K-Mart and Target seem to sell the previous rated oil. I assume they are able to purchase those out of date products at a good price enabling them to pass the saving along to their customers. Target does have more up to date products, but you need to search the shelves in the oil department to checking the API rating.
K mart usually has good prices on Purolator oil filters.
They usually have a weekly sale on various oils, but even on sale is usually about the same price as the 5 qt jugs at Walmart.