An electric blower with a 220 motor would not receive enough electricity to function correctly with a 110 motor. This would cause problems to the operator, and possible injury because the motor would be used incorrectly.
You can not rewire an electric motor without incurring a high outlay of money. If cost is not an option take it to any reputable motor shop and they will rewind it for you. If the motor is rated for dual voltage operation then the answer is yes. Look on the nameplate and where you see the motors voltage it should look like this 120/240 volts. If this is the case the wiring diagram should be pasted on the underside of the motors junction box lid. These types of motors use push on lugs so just rearrange the lugs for a voltage that you want to use.