That is a super-power, so we
are thinking in terms of constructing a vehicle of some kind that uses soundwaves for propulsion - preferably a flying machine.
Cannot think of any reason off the top of my head that it is not possible in principle - sound is just a pressure wave after all and you know shock-waves (high amplitude sounds pulses) can move things around and even lift people off their feet.
... for a starting point.
Seriously doubt such a machine would fit into a backpack - even with a flight-suit.
It would certainly be illegal to operate one over built-up areas. The SST produces a sonic boom that can shatter windows but does not knock people over ... you are speculating about something much more powerful.