Unfortunately, as handy as that would be, no there is not any such thing as a MIDI send, and yes, this has been a asked as a feature request for a while now.
I guess one way to do it would be to use something like MIDI yoke - but I have never used that so another user might advise on this.
You could copy a clip to another track and keep the clips linked, so that when you edit one, the other is also edited. Again, I have never tried that.
Some synths even allows you to embed an instance of itself in an existing instance, giving you two sounds. Meldaproductions Mpowersynth is an example of a synth that can do this.
Personally, I think an elegant solution would be to allow MIDI sends in MIDI tracks in the same way you can add audio sends in Audio tracks.