There are many, many Catholic priests who serve as chaplains in the armed forces; within reason, no average military member is denied the sacraments while on active duty. All bases, barracks, etc should have at least one priest available for the faithful.
In some situations, temporarily, it is possible that a priest-chaplain would be unavailable, however the Church acknowledges this possibily and excuses the soldier, the same way the Church excuses anyone who is truly unable to participate in the sacraments (perfect contrition until confession, spiritual communion instead of Mass, etc).
For example, if the person is on a special ops mission or something where it is a small group of individuals and/or secrecy is required, then unfortunately it may not be possible for a priest to be available to them until the mission is over.
Our Archdiocese is sorrowfully praying for one of our own priests, the only priest-chaplain who has been critically injured in Iraq. Fr. Tim Vakoc is currently at the VA hospital here in the Twin Cities, and my pastor is close friends with him. At the moment, he is basically comatose, and near death. The doctors have been predicting his death daily for the last week, he has held on this long, but death is truly imminent for him. Please please keep him and his family in your prayers!! :crying:
+veritas+