All of the US military martial arts programs utilize multiple styles in part and portion to the form and function of the particular mission direction of the given service.
A quick answer is yes...there are elements of Eskrima in some programs...but none that I know of that focus in whole on one style.
The US Marine Corps has developed its own style for example
MCMAP Marine Corps Martial Arts Program
http://en.wikipedia.org/wiki/Marine_Corps_Martial_Arts_ProgramHe wasn't asking if every training program involves Filipino Martial Arts, just the Modern Army Combatives program. That's pretty specific, and from what I've read, they do use FMA as the basis for their knife training.