The motor will be just fine - but it needs to be a properly regulated supply - which something specifying "5.2 V" presumably must be.Why?Well, the motor is a mechanical device, small variations in voltage, and thus power, are trivial.So why does it matter more for some things? Well, semiconductors (diodes, transistors, ICs) have a critical "breakdown" voltage at which they draw far more current than they can stand and can thus be overheated internally and burn out. Resistive devices, such as a motor, simply draw a little more current and can even tolerate this for short periods because they have thermal mass.
The 5.2V is no problem at all for this stepper motor.
I do have one more question though. I am using a 1A H-Bridge. If I hook up a power supply to it that is within the voltage range (4.5-36V) and has an output current of 1.5A, will that damage the H-Bridge?