Exactly. The cell is far to complex to spontaneously form. If life required just 200 amino acids to get together in a certain order, the odds of it happening is something on the order of 1.78 x 10^378 to 1.
Your talking starting with pre made amino acids. Put 10^378:1 into perspective there are 10^89 atomic particles in the universe if you include photons. And there are 10^18 seconds. The average size protein has about 600 amino acids and the smallest human chromosome has 1 million.