Many op-amps can work off of a range of voltages; however, some characteristics of the op-amp may behave differently at different supply voltages.Check the manufacture’s datasheet for details on the working specifications for the device at the voltage you want to run it at. The supply voltage should not exceed the specifications given by the manufacture and should remain constant.Special considerations may apply to particularly low voltage levels.
Of course, the answer is no. The op-amp supply voltage(s) should stay between the minimum and maximum recommended supply voltages and should not be used at the absolute maximum supply voltage ratings as that covers any transients that might kill the IC. I've got to agree, the designer really needs to dig deep into the op-amp datasheet to determine what supply voltage will work best for their application. In most cases, it doesn't matter that much. But in some cases, it does and it's on the design engineer to determine this.
