Nope. You can tie them to centerlines (or any sketched lines or points), so if you add a centerline you can tie it to that.
Like Charles said no there is not a way.
But a couple of thoughts to throw at you is maybe you can create something through
sketching lines and text, save it as a symbol block and add some attributes to it.
Or maybe you can configure sonthing in the GTOL or dimension arrangement and save them
out as favorites.