Can you breed Deoxys and jerochi on Pokemon?

It is said that if you breed deoxys and ditto you will get a random egg.

I am working on it right now, but it is taking a long time...

if you breed deoxys and jirachi you get jixory

I've been trying to breed Deoxys, I'm not getting any results... When I talk to the daycare man he says that they prefer playing with other Pokemon than each other... I want to breed one to give it to my brother, but I guess that won't happen...