No, reason is look at the minor details, specifically the hairs. All the lines and figures involved to make out those details will cause the machine to damage the vinyl.

Also another thing that would make this image extremely hard is the weeding process which is the process of removing the vinyl that is not needed (in your case, whatever is black will actually be the vinyl, the white parts is no vinyl)

Another thing is the image still have to be vectorized, again either re-drawing or tracing. Tracing wont yield good results due to the amount of minor details and redrawing will take up a lot of time.

Simply this drawing was not designed or created with the intention of cutting it into vinyl. This is the reason why some graphics just cannot be done. Perfect example.

Your best bet is to get it printed, laminated and contour cut. The image will have to be converted into a TIF file format.