No, eunuchs do not have periods. Eunuchs or eunuchs are people separated from their caste at the time of their birth or later. These people do not have periods due to various medical processes involved in organ development. This is also influenced by their physical condition, hormone levels and other factors.
So, transgenders do not have periods but they are one of those people who experience in life and they need right information and advice to face various problems.