That is common in Japan among jobs from office workers to mechanics.
I was stationed there for some years and when we were in port the Japanese workers on the base would all line up outside their offices, sometimes turn on a little workout music, and one or two would lead in stretching and movement exercises.
I'm sure they saw all the sailors looking and some laughing, but I think the joke was on us, ha!
It's not uncommon to have 1 stretch break a day that's lead by someone. As in they walk in the room and say "Okay everyone it's stretch time. Please stand up and follow my moves". I haven't personally seen it more than once a day and I've worked at Japanese companies that didn't have it though.
I don't know if this is common in Japan or just a Studio Ghibli practice, but I was impressed with the idea of it.