If you have a tubal ligation can you still get pregnant?

Tubal Ligations and Pregnancy

Yes, but not naturally. The tubes are blocked and cannot allow eggs to from the ovaries to the uterus (womb), so natural conception is not likely but is positive there is a 1.4-2% chance low but not impossible

Artificial methods will work and are used for women with naturally blocked tubes (which is quite common) - the techniques for extracting eggs, perfoming 'in vitro' fertilisation and implantation are effective, if rather expensive. (Test tube babies)