I suppose it would depend on the jurisdiction in which the case was held, but it is unlikely to qualify in any jurisdiction I know of. Most jurisdictions require a serious or severe mental disease or defect (or some similar language) to qualify and PMDD is unlikely to meet most statutory standards. Further, it would have to in some way impair or incapacitate that person's understanding of wrongfulness, criminality, or capacity to conform their conduct (depending on the jurisdiction again). This seems fairly unlikely to occur for PMDD alone.
There have been cases where PMS or PMDD have been used as a defense in court cases in Canada and United Kingdom. This has helped some women receive a lenient or reduced sentencing (Easteal, 1991). Attaching an article on the same.
It is highly unlike, that court declare Person suffering from PMDD insane. Like Benjamin Silber explained in his answer court requires severe mental proof because alot of criminals fake mental illness to avoid punishment.
It is possibly but I do not think it is likely