Yes. This is possible for .com, .org, .net, .info, .biz, .co, .name and a number of other domains.
Whois is a protocol that can be used to query information from an Internet domain and its owner from a database system. Such an entry looks like this:
With privacy protection, you can hide the Whois owner data of your domain. As a result, they no longer appear when querying your domain. Privacy protection helps keeping you anonymous, spam is minimised, and your data is protected from misuse.
Privacy protection can be activated for supported domains at my.world4you.com under Your account > Domain Overview. To do this, click the extension symbol next to your domain. Alternatively, you can deactivate the display of the telephone number, fax number and email address when using .at, .co.at and or.at domains. These changes can also be made in the domain overview under the Whois link of the respective domain.