Yup. The zebrafish in my lab get them quite often after ~2years of age.
Plants have fewer growth factors and fewer motile cells, which means that even if you get an uncontrollable, multiplying group of cells (a tumor), they are much less likely (than in animals) of moving from place to place to metastisizing and spreading the cancer. (In animals, you usually start with a single point tumor, which eventually reverts some of its cells into motile (able to move) cells, which penetrate into the lymphatic or blood systems and then migrate away and form secondary tumors all over the body.) Plants also have a much, MUCH slower metabolism than animals, which leads to fewer oxidation-related mutations accumulating over the years, which is why plants can live for hundreds or thousands of years.