My pap smear is positive and the DNA test showed high risk hpv. Am I in danger of cancer?

HPV. High risk hpv can lead to cervical cancer if ignored. You are already involved with your healthcare. As long as you and your doctor stay on top of the issue and treat abnormalities when they appear, you will most likely never get cancer. Stay involved with your health care.
Yes. Thankfully, if you keep following up, we'll be able to catch any cancer early and almost certainly cure it. I see this all the time -- it's routine. Glad you're taking a proactive approach to your health.