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As I understand it, an Ethereum account is a public/private key pair.

Is it possible to encrypt a message with the public key (how?) that only the account holder can decrypt it with his private key?

You could establish a forum where you could post such messages, for example to PM an account holder.

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    Sorry, mistook this for a duplicate of How can I sign a piece of data with the private key of an Ethereum address? in first place. But you are asking the other way around, very interesting question and welcome to Ethereum Stack Exchange!
    – Afr
    May 17 '16 at 9:21
  • Does duplicate look good?
    – eth
    May 17 '16 at 9:40
  • This should not be mark as a duplicate. The link to the answer is not answering anything but self promote his package! Oct 20 at 4:08