Is it possible to get pregnant if you put sperm in your vagina during your fertile days?

Absolutely. You will have to wait to see if your period is late and if so, take a HPT. Sperm dies within a few minutes of coming into contact with air. If the sperm was released during sex and you wiped it on your vagina....or put it in your vagina like you mentioned above...then this would mean the sperm was fresh and there is a risk of pregnancy.