Is it possible to get pregnant the natural way after a partial bilateral salpingectomy?

Yes: It is possible, even after a tubal sterilization pregnancy is possible. Unfortunately, ectopic (tubal) pregnancy is also possible especially with damaged or surgically treated fallopian tubes.

Unlikely: A salpingectomy is the removal of one or both fallopian tubes, usually due to an infection or ectopic pregnancy. If one tube is removed there is no effect on chances of pregnancy since the other tube can catch eggs from both ovaries. If both tubes removed however, you'll need in vitro fertilization. There is no expected change with periods or chance of a healthy pregnancy once pregnant.