Can lip biting cause you to get oral cancer?

No. The main causes of oral cancer are tobacco use, alcohol use, human papilloma virus and genetics. Chronic sun exposure is also a risk factor for lip cancer.
Unlikely. Repeated trauma to the same area over and over can definitely cause permanent changes to the tissues. These changes can be on a cellular level. In some cases, these changes can become a permanent part of the dna. So, in theory, this can lead to cancer. If you have a lip biting habit, you should get some help to stop. Also limit additional risks, like sun exposure, tobacco use, piercings, & so on.