Haven't done this myself, but in large orgs politically savvy engineers do this all the time. A similar play if you're more senior is to pick a problem to solve

Haven't done this myself, but in large orgs politically savvy engineers do this all the time. A similar play if you're more senior is to pick a problem to solve that requires coordination with a team you want to be on, lead the effort, and use the success to convince the manager of that team to bring you on board. Nothing wrong with it, would do it in a heart beat if I wanted out from my current team and couldn't just ask.