Absolutely. Research shows that. In fact, in the Active Healthy Kids Canada report card two years ago, they focused on academic achievement, and many studies indicated that children who have access to daily physical education and physical activity learn better. Social cohesion was improved in school. It was a better environment overall.
So while some would say that physical education takes time away, it in fact contributes to better classroom management and to kids being better prepared to learn within a classroom environment. It's an investment of their time to perform better within a classroom.