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Yes. The procedure does not actually “tie” the fallopian tubes (in the way you tie a knot). It cauterizes them so the egg cannot reach the uterus. It is possible to get pregnant if the procedure wasn’t done properly or some other mistake was made. Apparently it is also possible for the procedure to be done properly, but the egg to still migrate to the uterus.
I understood your question differently from the previous answer – as in, “Can I still have a baby if my tubes are tied?” In that case, the answer is yes, however the procedure is more complicated & involves IVF – in vitro fertilization.
You can read more in the source below.