No.
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Identical twins are formed from a single egg that splits into two. Fraternal twins are formed from two separate eggs that are both separately fertilized. So identical twins have identical DNA, and fraternal twins do not.
Twins are not necessarily identical. They can be fraternal as well. Identical twins result when one fertilized egg splits in two. Fraternal twins result from two fertilized eggs.
Identical twins are the result of a single fertilized embryo splitting in two at an early stage and forming two viable embryos. As such, identical twins have identical DNA. Fraternal twins are the result of two distinct fertilized embryos being viable. As such, they have different DNA. They could even be different sexes.
Identical twins are genetically the same, because they come from the same fertilized egg/sperm cell zygote, which happens to split into two viable zygotes. Fraternal twins, however, come from two different egg/sperm cell zygotes, that are concurrently fertilized and remain viable.
Fraternal twins started from two separate eggs in the mother. By comparison, identical twins started from one egg but it divided at the first stage of development into two separate zygotes (and thus two separate babies).