The resding glasses in drug store will not correct astigmatism. You need to go to an eye doctor and have an exam , then you can get your prescription put into a pair reading glasses that can correct astigmatism.
No, reading glasses can't fix astigmatism. If you have astigmatism, please not wearing reading glasses randomly. You'd better take detail eye exam. Then buy reading glasses with your prescription given by eye doctor. And the opticians will make your reading glasses combined with astigmatism, thus to provide you the comfortable vision.