Bind on Account items.

Q u o t e:
I currently have Tyrael's Hilt, a BoA item. I know that I can now transfer it across any of my characters on this realm, but is it possible to also get the pet on my other characters on other realms, seeing as it is bind on account?

You would need to transfer a character with the item to a realm with your other characters, Orcshaman. Or transfer a character to the realm that has a character that is holding the item.

These items can not be transferred across realms or factions.

Q u o t e:
Yeah, obviously you could do a paid transfer.
What I'm trying to ask is if the another code or something can be used on my other characters on other realms so they can get the pet, or something like that.

Not currently.