The three women in The Great Gatsby are Daisy, Jordan, and Myrtle. "Sympathize" is actually a complex word meaning variously to have common shared feeling with someone; to feel compassionate toward someone; to be in approving accord with someone; to agree with someone. Let's take a look at the qualities and actions of the three women and judge whether they have any qualities or behaviors that can be shared, agreed with, approved of, accorded with or extended compassion.
Daisy rejects every sincere, honest human feeling for thrills and selfish pleasures. She has little regard or affection for her daughter (a female with one whom can easily and readily sympathize). She murders someone and lets someone else take the blame for it. Jordan is callous and cheats at the only thing that can make her admirable: golf. She toys with affectionate feelings then walks away from them as though they were not worth the effort--or any effort. Myrtle is selfish, vain and vulgar. She is greedy. She has no sense of honor or compassion, which is obvious by the bold and direct way in which she mistreats her husband. I would say that the character sketches of these three women lead to the conclusion that, no, there are no women in The Great Gatsby with whom readers can sympathize.