I suppose that you could use it, but you would have to pre-process the input, perhaps using an opamp and associated components. It really would be more trouble than it's worth.
Jameco.com has LM3916N/NOPB's available as 4-day dropship for $1.59 each. They don't have a minimum buy.
Save yourself the hassle of trying to beat a square peg into a round hole. Unless, of course, you really want to tackle something like that, and don't mind spending lots of time fiddling with it.
I designed a Sound Level Indicator project with an electret microphone, a preamp and an LM3915 driving two LEDs in series on each output. The LM3915 has a logarithmic detector like your hearing and I enhanced it 20dB with a simple compressor circuit when sounds get loud. So it is extremely sensitive and shows a pin dropped on the floor of the next room and also shows very loud sounds.
An LM3914 is a voltmeter. It does a poor job measuring sound levels.