Pokemon: General BoardGeneral discussion about Pokemon in general. If the topic of your thread does not fall into the subjects in the other boards, post it there. In other words, everything else belongs here if it doesn't have a board of its own.
No, the Char family cannot obtain Dragonbreath through breeding. If you wanted a Zard with DB, you'd need to use an Action Replay or a similar hacking device.
If you want to know what moves a Mon can learn through Breeding, leveling up, etc, you can go to Serebii's PokeDex. I prefer using the D/P one, since it lists what moves Mon from the first three Gens can learn. Here's a link to the D/P Dex. Just click on one of the four small boxes, depending on which Gen you want. Then scroll down til you find the Mon you're looking for.