No, it's not. Seeds and even embryos are to DNA what a running piece of software (and especially, a Lisp/Smalltalk image) is to its source code: the latter stores only a fraction of the former.

And then consider that life is always built by other life, there is no bootstrapping from source code happening. Compare with Ken Thompson's "Reflections on Trusting Trust", and realize that the most important bits about life may not even be encoded in the DNA, but rather in the runtime state that's passed "out of band" from generation to generation.