It might be capable of performing VTOL operations. However, if one were to rely solely on the impellors for lift during the whole operation, it seems like it would consume excessive fuel. I know helicopters rely on rotor thrust during forward flight as well, but the large rotor diameter makes the turboshafts very fuel efficient. I'm actually not sure how one would calculate the efficiency of impellors like in your design. I would suggest trying to figure out the internal layout in addition to the external layout. Figure out the sizes and placement of the cockpit, engines and fuel tanks. That may help determine if it has sufficient fuel fraction to perform a mission. If the aircraft is to have two engines, then I would also consider linking the two impellors together mechanically as in the V-22 Osprey. That would make the aircraft easier to control in the case of an engine out. I'm also wondering how it controls pitch and yaw.
I would also suggest making the design fairly pointy at the rear end in order to reduce form drag in forward flight. Smoothly blending the ducts into the sides of the aircraft would reduce drag as well. If you don't understand what I mean, maybe I could do a drawing.
If you are into the idea of detail design, I would strongly suggest looking into getting Dr. Daniel P. Raymer's book, Aircraft Design: A Conceptual Approach. It has helped me immensely in understanding the fundamentals and even the mathematics of aircraft design.