It's not possible for some classes(also very dependent on the player) to solo Brutallus currently. The only ones that would have a chance at it are those that have extremely high sustained damage (70-80k dps in current tier) or those that can survive long enough while putting out around 30-40k dps.
Currently the best classes for soloing Brutallus are DK/Paladin/Druid/Hunter/Warlock/Warrior in that order. The reason for this is they either have decent damage with good healing capabilities in tank spec or they have a pet that can tank the boss until the stacks kill the pet(which by that time the boss should be dead).
Since a Rogue has no way to drop the stacks from the bosses debuff, and no major healing abilities, you would need to pull that 70-80k sustained DPS to even have a chance at downing him. In this case, it depends more on the player and their gear than what class/spec you play as.
So in conclusion, yes it is possible for a Rogue to solo Brutallus, but a large majority of rogue players will not be capable of it.