Can Somebody use Takekoputa to fly?
In a manner of speaking yes (although its highly unlikely). If the propellor on his head can generate enough lift to get his mass off the ground there is nothing to say he cant fly. That does not mean that the flight will be very stable or controllable but it may lift off. Since the animal does not have the equivalent of a tail rotor the torque effect generated from the propellor may spin him around. It does appear there may be flyable toy versions 

 

Although for what its worth there is no identifiable power plant that is spinning this head propellor...