Sure, if you claim it's a random collection of matter you do need to prove it. The thing is, that even if you can't prove that (and someone probably can), it's doesn't mean that the only other option is "God did it." At the same time, even if you prove that it is a random collection of elements, it doesn't prove that god does not exist. Neither position if mutually exclusive of the other.
But, yeah, the burden is on the person making the claim. It's the nature of science and no real scientist or fan of science would want it any other way. So, no, science won't allow for "faith" to be the answer. It requires "proof". Faith does not cut it for science.