Not quite, but a good guess anyway. Ectopic pregnancies can happen to anyone.

The uterine (fallopian) tubes are not homolog to the vas deferens. They are actually extensions from the uterus. They are not sealed to the ovaries and simply open up in the abdomonal cavity. They have tentacle like potrusions which try to grab onto eggs released by the ovary. When they fail at their job, the egg ends up somewhere in the abdomonal cavity.

Transplantation is impossible for multiple reasons. One has to do with the placenta not forming inside either. You’d have to sever the supply and expect it to heal before a fetus dies. Another has to do with surgery on pregnant women should be avoided as much as possible. Then there is also the problen of fitting a fetus into the uterus. Imagine trying to fit a frail balloon inside a smaller tougher balloon. Surgery like this could result in the fetus simply not making it through alive. If it did, it could also mess up its own signaling and result in a miscarriage.

Even if all that were possible. The risk to the mother’s health would make it not worth it. Surgical intervention would damage the surrounding tissues. Imagine leaving a fresh suture on a uterus that needs to expand massively within weeks to months.