Considering you need energy AND protein to build muscle, and that energy doesn't necessarily have to come from carbohydrate...yeah i guess it would be possible.
When you say "no carb" do you literally mean no carbohydrates AT ALL? That means no veggies, no fruit, hell even nuts have some carbs in them, lol. In that case i think you would struggle to get enough energy full stop.
I'm doing low-carb right now and most of my diet is fruit, vegetables, and nuts.
The other problem with this low/no carb bulking idea would be physically eating that much food. Carbs are great because - at least for me - i can eat and eat and eat carbs all day long and not get full. The calories are still going in, but i wont stop eating.
On this high protein/low carb diet right now, i'm struggling to finish meals simply because theres so much damned meat and fibre in them.
I think it IS possible, but might not be DO-ABLE for some people.