Sort of. If you save the face as above, then open the file with notepad, you will it looks like this:
QUOTE
Sex:F
Race:00013746
Slider0:-0.500000
Slider1:-0.300000
Slider2:-0.500000
Slider3:-0.300000
Slider4:0.000000
Slider5:0.000000
Slider6:-0.600000
Slider7:-0.800000
Slider8:-0.000000
Slider9:0.000000
Slider10:0.100000
Slider11:-0.300000
Slider12:0.100000
Slider13:-0.300000
Slider14:0.500000
Slider15:-0.600000
Slider16:0.100000
Slider17:-0.100000
Those are the slider settings (and there is more after). You can print that out, and then use that to manually set the sliders for your second character using showracemenu. As I understand 0 is dead center, -10 is full left, -0.5 is five ticks over from the left, etc... all the way over to 10 at full right.
Obviously this would be easier if you use one of those mods that displays the numbers for each slider position.