Can a woman who has had a hysterectomy still feel PMS symptoms the way regular women do?

Yes. If your ovaries were left behind you will continue to experience the cyclical symptoms. The hysterectomy could however somewhat reduce the symptoms.
Sometimes. Pms is often caused by cyclic hormone fluctuations regulated by the ovaries. Therefore, if you had a hysterectomy but left the ovaries you can still have some PMS symptoms. This should not occur if the ovaries were removed.