Earlier quoted context omitted.
No, you don't have to close at all. You just need to comply with the law, just like everybody else. You also need to file your taxes, keep the books in order, ensure that you do not pollute the environment, in some cases you need to be licensed in order to be able to practice your trade and so on. Why would this particular regulation suddenly cause you to close your business unless you were doing something really sha…
Perhaps it costs money to do so, and the company does not have enough working capital + lines of credit to make the payments necessary? I feel like your statement here is basically "you are a business, therefore it is impossible for you to run out of money", which -- superficially -- seems very naive.
The GDPR is not going to cause any but the weakest businesses to close shop, in fact if the GDPR causes a business to close (which I highly doubt other than people voluntarily throwing in the towel because they can't be bothered) then I am not sure if I'm going to shed tears over that because it likely means that that business was so weak already that other things besides GDPR compliance were suffering as well (such as security).