By total hysterectomy if you mean removal of the entire uterus and cervix as well as both ovaries, then the short answer is "no". However if the ovaries are still present, then the answer is "yes".
Have you recently had a hysterectomy? I found http://www.hystersisters.com/ to be a wonderful source of support for women facing or recovering from this surgery. If you are concerned about cancer, you should discuss it with your physician. That said, a total hysterectomy generally means the uterus (including cervix) is removed. A complete hysterectomy mean the uterus, fallopian tubes and ovaries are removed. Although other female cancers can develop after a complete hysterectomy, ovarian cancer is not one of them (unless it is already present in the patient). Once the tissue is removed, it can not form a tumor, and the tissue of the ovaries do not generally "escape" from the ovaries. This is in contrast with endometrial cancer, for example, where the cells of the uterus can "escape" prior to hysterectomy and then "reside" in the abdomen afterward. Formation of a cancer like this is rare however in women who undergo complete hysterectomies since the hormones governing the cells are no longer being supplied by the ovaries. All the best to you.
educated knowledge (I'm a cancer research scientist) and database searches (including PubMed).