Is it possible for me to get pregnant have a baby at the age of 50?

Possibly: If still regularly menstruating and not post menopausal, yes. However, ovulation is sporadic and infrequent at that age and pregnancy is "unlikely". Contraception, if still menstruating, is advised to avoid a "change of life pregnancy".

Yes: Many women have conceived after the age of fifty, but the primary issue if the decreased number of eggs that are healthy. With the use of donor oocytes, you chances are good, as the uterus continues to funciton very normally. You may want to have some labs drawn to assess your "ovarian reserve".

Egg donation is best: At 50, even with regular periods, the chance of conceiving with your own eggs is very low (but not zero), and the chances of miscarriage or chromosome problems like down's syndrome are higher. Using a fresh or frozen donor eggs from a younger woman is the best chance of achieving a successful healthy pregnancy. Obstetric risks include a higher chance of c/section, and more placental problems.