I'm assuming you want to limit this to US armed forces, since I'm not sure that gathering the data from every air force in the world is very feasible.
If that's the case, it certainly appears that way. Pacific Air Command (PACAF) has long been the largest area of responsibility in the US Air Force, covering over 100M sq miles, or just over half the world's surface area.
The name of the command has been changed over time (since the Army Air Forces era), but a relatively straightforward list of the commanders of this area is:
General George C. Kenney, 3 Aug 1944
Lt Gen Ennis C. Whitehead, 30 Dec 1945
Lt Gen George E. Stratemeyer, 26 Apr 1949
Lt Gen Earle E. Partridge (acting), 21 May 1951
General Otto P. Weyland, 10 Jun 1951
Gen Earle E. Partridge, 26 Mar 1954
Gen Laurence C. Kuter, 1 Jun 1955
Gen Emmett O'Donnell Jr., 1 Aug 1959
Gen Jacob E. Smart, 1 Aug 1963
Gen Hunter Harris Jr., 1 Aug 1964
Gen John D. Ryan, 1 Feb 1967
Gen Joseph J. Nazzaro, 1 Aug 1968
Gen Lucius D. Clay Jr., 1 Aug 1971
Gen John W. Vogt, 1 Oct 1973
Gen Louis L. Wilson Jr., 1 Jul 1974
Lt Gen James A. Hill, 1 Jun 1977
Lt Gen James D. Hughes, 15 Jun 1978
Lt Gen Arnold W. Braswell, 1 Jul 1981
Gen Jerome F. O'Malley, 8 Oct 1983
Gen Robert W. Bazley, 1 Nov 1984
Gen Jack I. Gregory, 16 Dec 1986
Gen Merrill A. McPeak, 22 Jul 1988
Lt Gen James B. Davis, 5 Nov 1990
Gen Jimmie V. Adams, 19 Feb 1991
Gen Robert L. Rutherford, 26 Jan 1993
Gen John G. Lorber, 12 Oct 1994
Gen Richard B. Myers, 7 Jul 1997
Gen Patrick K. Gamble, 23 Jul 1998
Lt Gen Lansford E. Trapp (acting), 9 Apr 2001
Gen William J. Begert, 4 May 2001
Gen Paul V. Hester, 2 Jul 2004-
There have been three commanders since that page's last entry, easily verifiable by Google:
Gen Carrol H. Chandler, Nov 2007
Gen Gary North, Aug 2009
Gen Herbert Carlisle, Aug 2012-
A quick perusal of their Wikipedia entries shows them all as pilots at one point in their career. I don't really see why those would be inaccurate, but you can follow them all to their primary sources if interested.