Don't believe so, don't ever remember taking damage when using charge, intercept, or intervene through fire on my Warrior so I'd assume it would be the same for druids.
that actually is not true. I have died on a feral charge through the bombs of the first boss in (H)Lost City....things like fire on Magmaw and other related mechanics are dots. If you charge over them in the dot cooldown, you are safe, however, if you get that unlucky moment, then yes it can hurt you. Note the "can"....it is not guarenteed damage nor are you 100% safe.
i never though about it in terms of dots but i do think this is tru. as yeh yes i do sometimes take damage and sometimes i dont but usaely 1 tick doesnt kill me anyway (i am not sure about heroic magmar tho)