Originally Posted by
RothwellAudio
It looks like it should be ok, though I have no experience of that chip. What will really matter is the exact wiring scheme - how you define the 0 volt point and what filtering you use. Large reservoir capacitors might seem like a good idea but could be a difficult load for the chip, so getting the details right is what counts. Check the manufacturer's data sheet. BTW, there are lots of similar chips available that will do a similar job. Look for DC-DC converters. Of course, you would still need to feed DC into it.
A simpler alternative would be to get 12V power supplies - the "wall wart" type would be fine - and wire their outputs in series to give you +/-12V. It means having two power supplies plugged into the mains but it's probably the simplest and cheapest option you have (if cheap/simple is what you're looking for).