Do women with blocked fallopian tubes still ovulate?

Yes: Ovulation is not disturbed by scarring or blockage of the fallopian tubes.

Yes: Ovulation occurs form the ovary and has nothing to do with the fallopian tubes. The hormones to make you ovulate travel from the brain to the ovary through the blood stream. If the ovaries are functioning normally a woman with tubes that are open, a woman with her tubes tied, or a woman with blocked tubes will still ovulate.

Yes & other facts: The blood supply to the ovaries can come in small or larger part from vessels along the fallopian tube. Increasingly, we find that tubal ligation (particularly cautery) or hysterectomy, leads to earlier menopause because the loss of blood supply to ovaries causes the egg supply to fall faster. Earlier menopause also means earlier end to ovulation and menstruation, but we are talking a few years.