No, https://en.wikipedia.org/wiki/Domain_name#Technical_requirem...
(last paragraph)
As a concrete example, the following are fake links to Wikipedia (and entirely equivalent):
http://xn--wkd-8cdx9d7hbd.org (FAKE, same as below)
http://www.wіkіреdіа.org (FAKE, same as above)
It is true that network protocols encode these internationalized domain names in a subset of ASCII, but the user sees Unicode in his browser address bar or email. There is no restriction on how applications (like browsers) display domain names[2]; they can use Unicode if they want. This lead to all sorts of devious attacks[3].
[1] https://en.wikipedia.org/wiki/Domain_name#Internationalized_...
[2] https://en.wikipedia.org/wiki/Internationalized_domain_name#...