In genesis it implies that creatures were created independently from the ground according to their kind *ex. "Let the earth bring forth living creatures according to their kind, cattle and creeping things and the beasts of the earth according to their kind" Gen. 1:24,
or more explicit regarding Adam "Then the LORD God formed the man from the dust of the ground" (Gen. 2:7).
On the other hand, DNA evidence suggests a common ancestry such as the genetic similarities between species (ex. we share roughly 95% of the same genes as monkeys, 90% with cats, 80% cows, 50% bananas). The order of the genes are also closer to humans in this lineup and as far as we know the order is not important for gene production. they just need to be there. There is also signs of chromosome fusion of chromosome 2 in humans which would explain why we have 23 pairs of chromosomes while apes have 24 from a common ancestry perspective. there are other converging evidence of this sort such as retrovirus genes from ancient viruses which, scientists say, allow us to trace the DNA lineage somewhat.
some say the Genesis account is not literal. But according to the view that it is (which is supported by the Midrash in the creation of Adam) why would God give such contradictory evidence to the Genesis account? Why would He create living things in a way which seems to contradict the plain meaning of the torah's account. After all, many people will read this without access to the torah law (ex. non jews)