Zero capital up front? Chances are pretty slim - especially in the high risk restaurant start-up game.

We used to do washroom equipment leases for new restaurants, but stopped doing it because of the abysmal failure rate.
And frankly the very bad behaviour of the owners as they were going under. More often than not we would lose the entire investment, including failure to recover our equipment - a double whammy. The rare instance where someone made it did not cover the losses that came from all the failures, even if one looked at the "lifetime values."

Nowadays it's outright purchase or best of luck getting someone else to lease to you.

You are going to need some sort of rock solid collateral as minimum...