US-EU transplant here. No, the United States does not have anything even vaguely similar like this. Seriously putting forward the idea of an exit tax on anyone who owns more than 1% of any LLC worldwide would in all likelihood be deeply politically unpopular. It goes against the very name and spirit of a limited liability company, for one. For two (real ballpark number here) about 1 in 10 Americans would actively be subject to a German style exit tax like this, concentrated among working adults.
You're probably instead thinking of income tax, which the US does levy worldwide contrary to virtually every other nation on Earth and is, I can tell you from personal experience, not fun. There is a a much narrower exit tax for US citizens who wish to actually give up their citizenship outright (not just move out) but that generally only comes into play for anyone with $2 million or more in net worth, and exists probably to discourage tax evasion, to my understanding. There is truly nothing remotely like the "you have to pay us if you own 1% of any LLC anywhere and move out" approach Germany has.
You're probably instead thinking of income tax, which the US does levy worldwide contrary to virtually every other nation on Earth and is, I can tell you from personal experience, not fun. There is a a much narrower exit tax for US citizens who wish to actually give up their citizenship outright (not just move out) but that generally only comes into play for anyone with $2 million or more in net worth, and exists probably to discourage tax evasion, to my understanding. There is truly nothing remotely like the "you have to pay us if you own 1% of any LLC anywhere and move out" approach Germany has.