I don't think so. Look at the pinouts -
http://en.wikipedia.org/wiki/Digital_Visual_Interface
For DVI-I and -A, the 4 pins C1-4 are probably providing the signal to the VGA pins. For DVI-D, it would have to be the other pins like 1,2 and 4,5 etc.
Unless the analog and digital pins are bridged so that if the analog signal is missing it picks up the digital signal, i don't think it would work.
I would also assume that there has to be some internal circuitry to go from digital to analog, but if that were true, DVI-D to vga would be more expensive and I don't think they are.
Bottom line is IDK, but there might be more in the wiki discussion.