Will you be successful? I'm not a lawyer, so this isn't legal advice. But: Very, very unlikely. Bluntly, it's none of your business what your landlord does with the rent you pay. That's between the landlord and the lender. You have no standing in the matter.
You and your landlord have a lease. To greatly oversimplify, you agree to pay rent every month and your landlord agrees to provide you a habitable place to live. I seriously doubt your lease has any provision requiring the landlord to pay his mortgage.
So: Check with a lawyer. Or check with your town or county housing authority for guidance. But, as I already said, the landlord's obligation to pay his mortgage is between him and the lender, not you.
Hope that helps.