Definitely not. There are two reasons. Firstly, some of the necessary information lies in the structures of the cells of the parent and the zygote itself. You don't get a clone simply by sticking nucleic acids into a uterus, even if we accept that "DNA alone" refers to more than just the genome.
Secondly, more importantly, the grown body contains incidental, but significant, information beyond what is in either the nucleic acids and their structures, or in the entire zygote. Never mind clones or twins, check out your own body: your left and right fingerprints may mirror each other roughly, but definitely not exactly. Your left and right retinae are not mirror images, and anyone with extensive experience of dissection knows that quite large details may vary drastically. A species simply cannot *afford* to carry enough genetic information to determine trivial details of say, neurone interconnections. It follows that identical twins are neither bodily nor mentally identical, but similar at most. This lends poignancy to our loss whenever anybody with irreplaceable intellect and experience dies.
Paradoxically, though we cannot ever duplicate individuals, we could (re-)generate a species, and probably soon I should think.
Watch this space for say, mammoths.