Not sure about swimming or soccer but I can tell you for a fact there is no rule at the national level in hockey about switching clubs at any age. (Leagues have rules but that’s to prevent members from poaching teams).
USA Hockey Tier 1 travel definitely does. You get one move after U10 without approval of USA Hockey. You can apply for exception (eg family move), but it needs to be managed through USA Hockey. Most exceptions are approved, but it definitely slows down club hopping.
