It appears to be difficult to get White House Tours Tickets at this
time.  Can a military officer get tickets to tour the White House and
if so can it be done in a timely manner

Hello evileva-ga,

Unfortunately due to the tragic events of September 11th, no one,
including military personnel, are being admitted as individuals for
tours of the White House.  However, organized military and veterans
groups are being admitted at this time.

"Tours of the White House are currently available to school and youth
groups grades one through 12 and organized military and veteran
groups."
"Visiting the White House," http://www.whitehouse.gov/history/tours/

If you would like to find out if a particular military group you are
involved in is eligible for a tour, you may contact the 24-hour White
House Visitor Line at 1-202-456-7041, or you may contact your state's
senator or representative in Congress.  If you belong to such a group,
tickets are available through your congressman or representative.  You
may obtain their contact information at the following links:

"U.S. Senate: Senators by State" 
http://www.senate.gov/senators/senator_by_state.cfm

"Member Information - Office of the Clerk"
http://clerk.house.gov/members/index.php

I hope this information is of assistance to you,

rmn-ga

I cannot answer the question about whether a military officer can get
tickets for the White House tour, but it used to be possible to obtain
tickets with the assistance of one's representative in Congress. At
any rate, he/she may be willing to pull strings in various ways to
make a constituent's visit to Washington DC more pleasant.