Yes, a dog can easily puncture an ordinary football. Unlike humans, dogs cannot play with their feet. They can toss or tug on the ball with their mouths only. And while doing so, they will likely bite hard on the football. Their powerful jaws and pointy teeth together can easily puncture the football. They can even puncture soccer balls. The rubber bladder in these balls cannot tolerate your dog's strong bite. If anything, the dog will enjoy chomping down on the football or soccer ball, which is why it is important that you give them a chew toy, or a football-shaped ball or dog toy that will not break so easily.