Not that I know of, unless someone is running a weird special, or if you are buying used.
The cheapest car in the US right now is a 2012 Nissan Versa Sedan 1.6 S manual transmission. TMV for my zip code is $11,585.
Assuming you pay the taxes and registration and doc fees yourself and have no trade and no down payment, your payment would be $161 a month for 72 months.
That's a "gold tier" market rate; if you don't qualify for the best rates, then the monthly payment would go up. For example, a 5% loan for 72 months would bump the payment to $187.
You might find an 84 month loan but my calculator doesn't go out that far.
I don't follow leasing very closely. A couple of years ago Toyota was doing a $99 a month deal on a 2010 Corolla, but that was tied to the $4,500 Cash for Clunkers program and you had to cough up $999 at signing.
Check out the loan calculator here for penciling out the numbers.