Of course for as long as you are not in the post menopausal stage and for as long as you still have your ovaries, fallopian tubes, and uterus.
Yes, there can be a lot of reasons that factor into whether or not a woman can have children or is fertile, sometimes they are capable of becoming pregnant but have difficulty beyond that. You can read a bit more about it in the link below.
pregnancy.lovetoknow.com
pregnancy.lovetoknow.com