I think that depends...
If the belief is that a "Supreme Being" has created life, and in particular that the SB has created man "in his own image", then a belief in science (i.e. evolution) is problematic.
The idea that a created man would be able to evolve into something better / smarter / more capable / more suited to "whatever" would mean that the created man has "improved".
That improvement would seem to elevate the "created in his own image, but evolved, man" to a position somehow better than "in his own image", and therefore better than the "Supreme Being"?
I don't think that's really an important inconsistency. Genetic material changes from generation to generation and slowly drifts just due to imperfections/quirks in the mechanics of DNA and DNA replication, that's something inherent, observed and undeniable whether or not you choose to logically apply that observation to large scale changes over billions of years.
If God had created man in his image 6,000 years ago we are just as different from Adam and Eve as we are from the non-Christian version of humanity that existed 6,000 years ago. It's not possible that we are exactly the same, because if there was a moment of creation, that creation included the (certainly highly impressive, but none the less) fairly flawed methods of reproduction and replication that directly observable.
If you choose to believe that populations remain static over many generations then you have simply closed your eyes to the world.
I think it's always important to keep in mind that nothing gets 'better' in any objective way, just different, in ways that are generally more suited toward the environment. Of course science never considers anything better than anything else, just different, and that applies just as much to evolutionary biology as sociology or linguistics.
There are surely features of religions which make them incompatible with the scientific view of history, but I don't think that evolution is one of them (hopefully it's not because drifts in the genotypes of populations happen observably and that's just not disputable).
The problem with the Adam and Eve story of Genesis for example is not necessarily problematic from a standpoint of the mechanisms of evolution, but just from the standpoint that the Earth is far older than 6,000 years. If you suppose that Eden physically existed, but 4.5 billion years ago, we should really expect that modern humans are far different from Adam and Eve, but again I don't think that necessarily is contradictory with Christianity, just the image we were created in had to change along with the world in which we existed, as humans don't live in the heavens with God.
Humans were created in God's image but were not exact replicas of God. It follows that we're imperfect. If you want to suppose that humans were created perfectly then that's kind of silly as we, like other organisms, are pretty overcomplicated, Rube-Goldberg-like, inefficient machines.
I don't necessarily believe that there is no God but I certainly don't believe that humans and the universe were created 6,000 years ago. None the less, evolution and even abiogenesis isn't really incompatible with the idea of an original creator of the universe.