Can pregnant women zip line?

Now I'm not talking about a nine month pregnant woman zip lining, I'm not stupid. What I mean is can a woman zip line without knowing she's pregnant and have no damage to the baby? My husband and I are planning our anniversary trip in March and one of our activities is zip lining. I'm not supposed to get my period until the week after we get back. I don't what to zip line and cause damage to my baby if I didn't know I was pregnant.