There is a plugin that used to allow this in your display name, however it is only compatible with MSN Messenger 6.
Song2Nick.
As for displaying it as you can in MSN Messenger with Windows Media Player (in the personal message area); Yes, it is believed to be possible with a plugin that got the information from MusicMatch and put it into where the "Now Playing" feature is on MSN Messenger. However no one has actually gone about making a plugin like this at the current time, mainly because the demand has been very low.
Another thread about this you may want to read (of the same request as yours);
[REQUEST] Musicmatch msnm7