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No, I think the first thing that is going to happen is you could fry the switch that the motor has instead of brushes, the windings are the most durable part of the motor, so you shouldn't be at risk of blowing the motor up unless you are running it at higher then normal voltage without a load on the motor and even then permanent magnet motors are harder to over speed then some other types of motors.
But if you are only going up to 60v then you should be fine, unless you are using lithium batteries, lead acid batteries will have some decent voltage sage, so at full power with lead acid batteries the motor might only be seeing 40v, but bump the voltage of the battery up and at full power the motor will be seeing closer to 48v, in theory you could have a 200v battery pack and your speed controller is going to be what limits the voltage going to the motor, so the point that the motor would burn out would depend on how much throttle you gave it and in turn how high the voltage got that was going to the motor.
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