No.
Many patients with PMDD will opt to have a total hysterectomy with bilateral oophorectomy (removal of the uterus and both ovaries) to once-and-for-all remove the hormonal flux that causes symptoms. Bilateral oophorectomy (removal of the ovaries) eliminates hormone cycling and usually eliminates cyclical symptoms in those with PMDD.
Both ovaries must be removed for oophorectomy to be an effective treatment for PMDD. Ovulation still occurs regularly with just one ovary, and therefore the same levels of hormones are present when one ovary is left in place -- that is, removal of one ovary does not result in a reduction in monthly hormone production, and PMDD continues.
Visit www.iapmd.org/surgery for lots of evidence-based information and resources for those considering, going through or recovering from surgery for PMDD/PME.