I don't have much experience but I tried this with my lender. It didn't work. Here was my situation (simplified):
Piece of land: 85k, Cost of Construction: 200k, Selling Price: 320k, and potential Profit: 35k
I went to my lender with these numbers. He said no matter what he needs something to fall back on if I default. With no down payment, he had nothing.. no backbone. He said, "imagine this - if you put down 50k, and I give you 285k for the project, then technically from day one, before any construction.. I technically, the lender, own property (1st position lien holder) that I purchased for 35k. So, I am safe because if you default even before you even build, you lose your 50k and I gain a piece of land that's worth at least 85k for only 30k (85k land purchase price - 50k down payment)."
The bank wants to be safe, that's all.
Most likely you will need to put something down or offer some good collateral. Maybe if you are willing, some equity in your home is a good place to get some cash.