Yes. When James tries to kill Bella in Twilight, he bites her hand. After he is destroyed, Edward sucks the venom out of Bella's hand to avoid her being transformed. Although she has a scar, she is still human because Edward removed the venom from her body. If a twilight vampire were to bite a person like James did Bella, and no one sucked out the venom in time, the victim would become a vampire.