Greetings! Sure, I have read many books written by women. Agatha Christie was one of my favorites. Currently I enjoy Sue Grafton, Janet Evanovich, Dian Mott Davidson.
For classics, few can beat Jane Austen. Also, Harriet Beecher Stowe created quite a stir (in fact very much helped start the Civil War) with her book, "Uncle Tom's Cabin".
In non-fiction, Jeanne Wakatsuki Houston wrote "Farewell To Manzanar" which is used in many School systems nationwide.
So yes, there are many women I have read. I have enjoyed them all.
Hope that helps you.