Yes, you can pursue a claim. This is typically done through their homeowners or renters insurance. While it sounds easy, these claims are difficult and have several legal issues to investigate. Home owners and renters insurance policies generally exclude certain types of dogs, and sometimes, attacks in general. The insurance companies are in the business of not paying claims, so they will fight tooth and nail. This is why it is important to contact a personal injury lawyer to investigate. A personal injury lawyer can determine the dog’s bite history, if it is a dangerous dog, and what compensation is available for your injuries and damages.