Yes, a woman can have a normal chance 2 conceive with 1 fallopian tube.
U only need 1good functional tube to get pregnant. If all other factors are normal (no medical problems, no ovarian disfunction, etc) u have a 50/50 chance of ovulating from either ovary monthly. U can ovulate from one ovary and the egg can enter the opposite tube! it's amazing! so keep trying. See your md if u have problems.