There is SO many things that could go wrong First of all, pets are definitely a distraction to yourself and others. When are you going to let your animal go to the bathroom (dogs, cats, etc.)? You can't just interrupt class to go outside and wait for your pet to go potty. Also, plenty of students are allergic to animals. They would have to stay home! Lastly, the pets could get in a big fight and hurt the students or the teachers. Imagine what the owners would feel like. Just, no. Imagine the hassle.