I'm 38 weeks pregnant and when the baby moves i feel it in my vagina as if he were coming out is this normal?

Yes: Later in pregnancies babies movements can include include pushing there head down into the cervix (like a swimmer pushing off from the wall in a pool with their legs). This can cause a stretching in the cervix and a brief sharp pain felt in the vagina. If I you are concerned about it possibly being labor and not fetal movements you should call your doctor or midwife