I took chemistry and biology at A-Levels and I'm going to study biochemistry at uni and there is absolutely no doubt in my mind that evolution is true and accurate. To put it simply, it's not because it "goes against the Quran" it's because it's such a crazy thing to accept for someone that has never studied it. I've not studied quantum mechanics but I know the behaviour of electrons and that the same electron can be in two different places at the same time, known as a quantum superposition. On the face of it this seems absolutely outrageous and impossible to comprehend. How can the same electron be "here" and "there" at the same time?! Well it can and it's been proven. It's also been proven that a photon is both a wave and a particle, when it's observed...
This just sounds like nonsense but it's because we have not studied it and therefore it sounds... stupid.
Anyway back to biology. There are fossils dating back millions of years which confirm evolution and you can go and see real skulls of Neanderthals in a museum. Every living thing alive today evolved, that is a fact whether you care to accept it or not but there is one key difference, we're the only living creature ever to have consciousness. Does consciousness arise naturally from the neural activity in our brains or is it something divine? I believe it's something divine. So with regards to the Quran and the creation of man, I believe that the creation of man from clay mentioned in the Quran is symbolic, to refer to us a "nothing special" and to describe the elements of which we're made. Water, carbon, hydrogen etc, as was already mentioned. If we we were made out of bismuth or some exotic element then it would be completely different.
There is absolutely no doubt in my mind that we evolved from ancestors and the first to evolve with consciousness were Adam and Eve. It is then that Allah revealed himself to them. Don't forget there were billions of species existing before humans existed... we're not the first creature. Allah created many species of animal before humans and he didn't give any of them consciousness. The word creation is ambiguous, it implies it was instant but consider baking a cake. You mix the ingredients and then it goes in the oven and the cake "evolves" into an actual cake we can eat.
Take for example climbing trees, if your only source of food was located in high trees then after thousands, perhaps hundreds of thousands of years you'd see the human body change, we'd have large hands and feet to make it easier to climb. Of course we have brains now so we don't need to climb but you get my point.
Evolution is a fact, deal with it. Denying evolution is on par with denying the Earth is round... that is how ridiculous it is in my opinion.
Lastly evolution is nothing like throwing a deck of cards and getting an ordered sequence... In the case of the deck of cards it's 1 in 52! as given by
So no, it's not impossible. Allah gave us the laws of physics for a reason. If something has a chance, then by definition it can't be impossible because Allah predefined it so. An example of something that is impossible is dropping a ball from 50ft and having the ball bounce back up to >=50ft. It's impossible! The laws of physics which Allah created says it's impossible. Throwing a deck of cards and having them land in a sorted order is not impossible because Allah has defined it so.
Go get an education, seriously...