Yes. There are some foundations specifically for that, I'd tell you the names but unfortunately I can't remember :( and also there is a giant community resource exchange in some areas for the homeless or significantly poor people, and the one in my area provides dental care. hope this is helpful :)
It's harder to find low price dental care in some states then others. There are many things programs go by (kids, job, age, where you live, disability, or other things). In many states it's easy for children.
There are no details about a program referred to as 'dental program for the poor'. However, there are various programs that offer their services to all the citizens inclusive of the needy ones for free and are funded by the government.