Hello Mountain man,
A team from the Army, or any other force is not likely, but individuals certainly. In the early to middle 1960's I knew a few people who were training for the Olympics, shot put, and basketball . I used to train with the basketball team members, but moved before the event, so I don't know the result. The army, then,were keen for personnel to train and get on the teams, it was called KAPE. KEEP the ARMY in PUBLIC EYE. These days I don't see it any different, good publicity, and free.
Regards
Peter