On the people side, the ones who would do it are already doing it: for example rich people who go live in Monaco 6 months a year to have residence there. The one's who aren't doing it and simply bitch and moan about it seldom tend to start doing it because they prefer the lifestyle of being were they are rather than the "live in your yacht of the coast of Monaco".
As for businesses, they only ever do it when they can still keep operating with the same advantages in their original markets whilst paying all taxes elsewhere that is cheaper. In regimes were taxation isn't actually based on "place of sale" but instead on HQ location, the move their HQs to reduce the tax they pay but they don't actually move their businesses. Such moves indicate that tax legislation is actually not taxing the doing business (i.e. their actual selling) but something else and thus need fixing.
It's incredibly rare for a business to actually stop selling altogether in a country merely for tax reasons - instead what you see is them trying to use accounting loopholes to move their tax residence elsewhere.