I bet almost everyone can find at least half an hour for their health if they wanted to. Very few people actually have a "I don't have time!" excuse. These people better be spending every single minute of their existence at work, doing something essential with their family, or sleeping then. Even then, could they seriously not function with half an hour less sleep? Can they not do something physical with their kids like sport or even just a walk? Maybe you and some others actually don't have time, but most do. Even Obama found time for hourly golf and reading pretty much every day. I really dislike the victimhood/making excuses mentality. I don't think it's a good thing for most people. But yes, I understand that for a very small portion of people, they really don't have time.
Also, walking your dogs could be a form of exercise.