Sure they will, when the technology has advanced enough. The brain is essentially a biological computer - it's made up of neurons and those neurons are made up the same atoms that everything else in the universe is made of. All our thought processes are chemical/electrical signals and reactions. Consciousness is nothing but a product of those reactions - billions upon billions of reactions and signals and synapses which we can't currently duplicate with our technology.
But just as they said humans would never be able to fly, I'm sure those who say we'll never create True AI are wrong as well. We will one day - once our nanotechnology and materials science has progressed to a certain point where we can make artificial synapses and neurons which isn't too far off.
Science is getting very good a understanding even the most complex functions of the brain - we can even tell what words you are thinking by analyzing an MRI image of your brain. We can actually start to piece together mental images using similar techniques as well - see for yourself:
http://www.bbc.co.uk/news/science-environment-16811042
http://www.sciencedaily.com/releases/2011/09/110922121407.htm
It's not perfect technology yet - but as MRI and other similar scanning technology improves, we will be able to see into the very deepest thought processes of the mind. And once we can do that (and we will one day), we will be able to begin replicating those processes using mechanical or nanotech-based artificial neurons and synapses.
And once we can do that, robots will be able to think and imagine as well as (or even better) than we can.
Our brains are made up of atoms. Computers are also made of atoms. Once we know how to manipulate those atoms and molecules in the correct way, and organize them correctly, we will be able to build real AI in the lab. It's coming - probably within my life time. I'll tentatively suggest they'll have real A.I by 2060.