Can I train a parakeet like a pigeon?

I have a Bourke's Parakeet. I already know how to train PIGEONS, but do you think it would be possible to train a parakeet to carry small notes over a very short distance? ( 1 mile) I mean, I'm more than sure they're mentally capable of learning, but would they come back like a Homing Pigeon or just fly away? Any of you "parakeet enthusiasts" know any tricks that could help me?