Yes.
Apricots do not have any chemical compounds that inhibit the ripening process, so the only thing preventing the fruit from ripening is a lack of exposure to a sufficient number of sunlight hours. Apricots will start to ripen at room temperature, but ripe apricots continue to mature and develop flavor for about 4-5 days after being harvested from the tree as long as they are stored in a humidity-controlled area at 32 degrees F during that time period…