Yes, you can! It's literally a case of square peg => square hole, for every component. If it fits in the hole, it'll work in the hole. There's a little screwing to stick the motherboard in the case, and probably some more to keep the backplates for things like graphics cards in, but screwing is just turning a little metal thing clockwise, anyone can do it. If you screw something up, your PC will probably both not boot (telling you something's wrong), and beep to give you an error code that describes the problem - but that's mostly for hardware failure, as putting it together is easy.
Oh, and of course, make sure the motherboard is not directly touching the backplate (although most cases/boards have built-in raising screws, some don't) - simply, PC goes boom. But like I said, nothing really to worry about.
It's actually amazing how easy it is - just read the manual
That's basically what technicians (myself included) get paid exorbitant amounts of money to do.