This should be possible. USB is rated at 5V and 500mA. As far as I know, some of Apple's devices like the iPod Touch need more current than 500mA, so your adapter may provide something like 1000mA. This is a good thing, don't worry, your Story will only draw as much current as needed. So make shure the adapter provides 5V (no more, no less) and at least 500mA.
I recharge my Story with a similar adapter sold for the Nintendo DSi and it works fine.
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