Just checked out the full rules (quoted below), so professions wouldnt work either...

1. All gear employed must be White or Grey. Also, no Heirlooms of any sort.
2. No transfer of gear, items, or money from any other character (yours or others).
3. No gear enhancement(s), thus no socketed gems, enchanting or reforging. Exceptions exist for class abilities (example: rogue poisons).
4. No specializations, talent points, or glyphs. This restriction also applies to talent points for pets.
5. No professions or secondary skills. An exception is made for First Aid.
6. No potions/flasks/elixirs (except those labeled as quest Items).
7. No food buffs or other external buffs (this includes buffs from items and other players).
8. No grouping or assistance from other characters, even if not grouped.
9. No dungeons/raids. No battlegrounds/arenas.
10. No guilds. An exception is made for Iron Man guilds. No guild perks.
11. No Recruit-A- Friend activities. The intention of the challenge is that it be done without assistance.
12. No add-ons that assist in combat and/or leveling.
13. THE BIG ONE: No deaths. Character death for any reason disqualifies the character.

Permitted:
- All mounts
- All bags/containers
- All quests (including holiday and daily quests)
- You may train and use all your class skills (including your own buffs)

I was just about to suggest leveling by Archy, but you're right. It does say no professions.