If you mean that ground level is 6176 feet above sea level, then you wouldn't have a problem. There is an 8000 ft ceiling with the stock firmware. You can request firmware to allow you to fly over 8000 feet if needed. If you mean fly out 6176 from the controller, then, sorry no. The Q500 will not do this.
Have a safe and fun time flying your Q500. I sincerely do.