Advanced Chamfering

Is it possible to have a chamfer that is not tangential to the edge I am chamfering. See what I am trying to accomplish with the prototype below where the chamfer tapers off and is all in one direction:

Meanwhile is SolidWorks, the chamfer on the fileted edge is always perpendicular to that edge and does not taper off as you reach the edge as seen above.

Any way to fix this?