Yes. Under Wisconsin law, a person injured by a dog can hold the dog’s owner liable for injuries caused by the dog. The dog’s owner can also be held liable for injuries the dog causes to someone else’s dog.
The Statute governing dog bite injuries (172.02) reads as follows:
(1)  LIABILITY FOR INJURY. (a) Without notice. Subject to s.895.045 and except as provided in s. 895.57 (4), the owner of a dog is liable for the full amount of damages caused by the dog injuring or causing injury to a person, domestic animal or property. 174.02(1)(b)(b) After notice. Subject to s. 895.045 and except as provided in s. 895.57 (4), the owner of a dog is liable for 2 times the full amount of damages caused by the dog biting a person with sufficient force to break the skin and cause permanent physical scarring or disfigurement if the owner was notified or knew that the dog had previously, without provocation, bitten a person with sufficient force to break the skin and cause permanent physical scarring or disfigurement.
The Statute speaks generally of injury,and is commonly interpreted to cover not just dog bite injuries but also injuries caused by a dog jumping on someone and knocking them over.
Wisconsin follows the strict liability law, which holds that a dog owner can be held liable for injuries caused by the dog whether the owner knew the dog had the potential be dangerous or not. If it turns out the dog has a history of biting or attacking, the dog owner can be held liable for twice the damages.