Could you possibly reverse a tubal ligation?

Usually yes: A majority of tubal ligations can be reversed. If the tube is completely remove this obviously cannot be reversed. Occasionally parts of the fallopian tube will be buried within the back of the uterus and this cannot be repaired. Also if the tube is burnt in three separate places this doesn't allow enough to be repaired. Always seek reversal by experienced micro surgeons such as reproductive endocrinologist.

Yes, but: Fertility can be obtained after a tubal ligation either through surgical repair (if amenable to reversal) or through IVF (tubal bypass). Tubal reversal success will depend on health of the tubes as well as chances to conceive overall. IVF does not require tubes and therefore success will depend on the age of the female as well as presence of other infertility factors.