Yes. There are 2 ways:
1) She had ovarian cancer before the ovaries were removed and it spread so that while the ovaries were removed, the cancer remained, but elsewhere in the body
2) Almost all ovarian cancer begins in the outer lining of the ovaries. That same lining also lines the abdominal cavity and other organs in the abdominal cavity. Cancer can occur in that lining elsewhere than the lining of the ovaries, and it looks the same as ovarian cancer under a microscope since the cells are the same type. When this type of cancer begins elsewhere than on the ovaries, it is called primary peritoneal cancer. If you're a woman and you get it but it has not spread ot your ovaries, then they can diagnose it as primary peritoneal cancer. But if it began somewhere else and then spread to the ovaries, then it's extremely difficult if not impossible to determine that it began elsewhere, and it will just end up being called ovarian cancer. The distinction is not majorly important because treatment is basically the same. If a woman has had her ovaries removed and then later gets this type of cancer, then they'll assume it was primary peritoneal cancer, rather than ovarian cancer that spread before the ovaries were removed but that they didn't notice before. Your chances of getting primary peritoneal cancer are slim after the ovaries have been removed.