You can't get a loan for more than the house is worth. But as other agents have said there are a few options for zero down payment (VA & USDA). Are you a vet (and can qualify for a VA loan)? Or would you want to buy in a very rural location (for USDA). Some states have down payment assistance programs -- but it's typically in the form of a 2nd loan. FHA will let you put only 3.5% down. Talk to a lender and find out what the best loan option for you would be. For "out of pocket" expenses such as closing costs -- you can often negotiate with sellers to pay for all or part of those.
But let me ask you this....why would you want to have zero equity in a home right off the bat? Do you have money to put down, but just don't want to? If you don't have money for up front expenses, then what happens when the furnace goes out, or the water heater breaks?
This is why we're in the housing mess we're in. People bought homes who couldn't afford to,. They put zero money into it, therefore had nothing to lose when things went south. So they walked away.
I suggest you buy what you can afford.Again, only a lender can help you with that. Good luck!