Yes but...
I'd bet that there are some programs any private school has access to for some fed/state funds.
But also the students can get fed/state aid to attend.
It all depends on the type of cirriculum the school has.
If its general education with majors...then they prob have access to fed/state money.
If its devotional and seminary...then prob not.
Take a look at Grove City College in Pennsylvania. They have rejected all government aid so that they don't have to deal with the strings attached to that money.