Actually, no the industry does not work that way,
but I might write something if I can find a way (no one else will I am certain).

It is more of a question of making a way to stamp some info (static or realtime)
into app output (I wrote a timestamp hot-key app once to do this sort of thing)
The app in this case happens to be sms,
but the concept is the same if you were composing some other
type of document-graphic-whatever.

I guess that removes it from being just an SMS signature,
but still the concept stands.