The drag at point B in your chart is much higher than at point A, so you might not be able to trim level flight there. If you are willing to sacrifice altitude to compensate for missing thrust, the lift at point B will be sufficient to trim a quasi-steady flight condition.
Flying beyond stall requires sufficient pitch authority, so you might not be able to trim this condition with forward c.g. That said, your pitch response will be much weaker than in normal flight, and you can pull suddenly without much happening. Depending on your c.g. location, you will need to have your yoke/stick/whatever pulled way back to trim this condition, and if some more travel in pull direction remains, it will not help to further increase your angle of attack. Some aircraft will not let you stay in this condition and either drop the nose by themselves (which is good) or drop a wing (which is really bad), so try to experiment with enough altitude for recovery.
My answer is Yes, if the aircraft lets you. Just watch the sink speed.
Lift coefficient over 180° for several NACA airfoils, taken from Sighard Hoerner's Fluid Dynamic Lift.
@DeltaLima is absolutely correct: While the lift curve slope is negative (the region around point B in your plot), the aircraft will be unstable and will drop out of this alpha range quickly. Note, however, that in the post stall region another section with positive lift curve slope follows, and here you can fly (well, let's better say mush) stably if the pitch control power of your aircraft allows. You will detect that you are in this region when your sink speed is much higher than at around stall, but the aircraft is in a stable state.
Air France demonstrated that you can keep an A330 in this condition for three minutes without any trouble. The trouble only starts when your altitude has run out.