I know that any charr, warrior, guardian, or ranger can get passed the gears and into the jumping puzzle a charr with the 4 ability on the charrzooka skill can jump you across, warriors have a skill on their sword I believe is called “sword-thrust” Guardians have the 3 skill on their great-swords and rangers have an ability using a sword (though it causes you to jump back first and then leaps you for a far greater distance afterward). I believe the ranger has one other move that they can use but I don’t remember.
Hope this helps for now.