No, women don’t know other people’s feelings (unless they’ve been told).

Some women are very good at guessing, or interpreting signals, just as some women are terrible at it. Most women, like most humans, are better at interpreting emotions in people they already know very well as opposed to strangers, but it’s still a guess regardless of how close to the truth it is.

Maybe some women are supernatural mind-readers, but most I’ve met have been regular humans, with regular human powers.