I keep biting the inside of my cheek when I eat. Is this due to my wisdom teeth coming in? What can I do to keep this from happening again?

See your dentist. Your wisdom teeth could definitely be a contributing cause for the trauma to your cheek. See your dentist for evaluation and recommendations for treatment as indicated.
Likely. Most likely due to the wisdom teeth coming in. See the Oral Surgeon and schedule the extractions. Good Luck.
Could Be. Most people don't have enough room for the wisdom teeth. When they start to erupt, they pinch the soft tissue in the area. See an oral surgeon for evaluation.
Wisdom teeth. Probably wisdom teeth. Seek evaluation. For best results with wisdom teeth, make sure you are evaluated and treated by a board certified oral & maxillofacial surgeon.