Can I reverse the wiring on a reverse log pot to convert it to a log/audio pot taper? Basically can I convert a "G" type taper pot to a "D" type taper -- http://www.bourns.com/docs/Product-Datasheets/91_95.pdf -- if I reverse the wiring.
You can add a resistor between wiper and common end of the pot to get these modifications to the response versus angular position of an otherwise linear pot: -
Next, here is the difference between a D type and G type response (top left): -
So, as an approximation, you can convert (somewhat) a D response to a G response (by adding a resistor as per the top diagram) but you can't go the other way without compromizing the pot's ability to turn the sound off completely (adding a fixed resistor to the common end of the pot to somehow raise the G response towards a D response).
So, depending on how accurate you want to make the conversion, on the face of it the answer is unfortunately no.
However, you could use a small micro driving a digipot circuit and use the micro to convert the G pot position to the equivalent D pot position (on the digipot) but, I suspect that is going to far.
Can I reverse the wiring on a reverse log pot to convert it to a log/audio pot taper ... if I reverse the wiring?
Yes. It will work in reverse rotation. e.g., Turn knob clockwise to turn the volume down.
It could be novel. Break out of the convention. At last - a volume control for left-handed people!
[OP's comment:] What if I want it to be right handed -- i.e. turn knob clockwise to increase volume. Can I achieve this by wiring between terminal 2-3 (instead of 1-2, which will be antilog)?
Figure 1. Standard, left-handed and OP's idea.
Swapping 2 and 3 doesn't work as you think. You will be shorting the input to ground when you turn fully clockwise. If your source can tolerate this you may find some combination that is acceptable in use but it will be a strange setup.