That depends entirely on what you think a brain is, and it just so happens that a prevalent view these days is that a brain is a computer, and so of course it follows very easily that a computer can simulate a brain.
But once that assumption is gotten rid of, it doesn't follow so easily at all. People are ignoring a good lot of scientific method when they propose that were a computer to every simulate a brain the veracity of that simulation could ever be verified. The only data that could ever be provided would be a very limited set, namely, to the external behaviors. What would essentially be needed in the simulation, that is the production of consciousness, could never empirically tested. Consciousness as an object isn't even a scientific entity, it's something that can only be corroborated internal to the agent that has it. It isn't analyzable into parts and it isn't able to be abstracted out of its environment, and so cannot be turned into a scientific object. The brain, on the other hand, we might suppose is an object fitted to empirical methods, but what people really want to get at is consciousness, and the brain without that is probably not the problem most people have in mind. So one could simulate the brain but only on a very restricted very of what a brain is.
On the other hand, on second thought I do agree with you that evolution produces technologies and even maybe that that's all evolution has ever done. I'm afraid I'll have to think about that point more if I am to respond to it specifically, though I think it's tangential to the rest of the argument I am trying to make above (which is admittedly sketchy).