Can a woman still have a menstral cycle while going through menapause?

Yes: Menopause is a process and may take several years. Officially a woman is considered post menopausal when she has not had a period in over a year.

Perimenopause: Before a women is done having periods, she goes through a "perimenopausal" period. At this time, periods still happen, but may be irregular in frequency and bleeding. This period can be managed with an ob/gyn or an internist or family doctor. Rarely, abnormal bleeding during the periomenopausal period can represent other abnormalities such as cervical or uterine cancer.

One year, no periods: A woman reaches menopause when she has had no periods for one year. Perimenopause precedes menopause and can be associated with irregular periods. Some women have spotting or bleeding after the menopause occurs. That needs to be reported to a doctor.

Menopause: Yes, you can still experience periods as you enter the menopause, though your bleeding may become somewhat irregular until the final episode of the peri-menopausal years.