Conceptual photograph is one of the least technically demanding types of photography to get into. After all, the emphasis is not on how low your f-stop can go or how quick of a shutter speed you can get, but the concept itself. This makes conceptual photography much easier to get into for amateur photographers than, say, sports photography or portrait photography.
That being said, there is a minimum required. Clean, well executed photos are a must, just like with any other field of photography. Knowing your way around exposure, ISO and other controls are helpful, and if shooting smaller objects, a little know-how with the f-stop and manual focus is also good.
Lighting is an important consideration with such planned shots, especially if indoors. Developing an awareness of lighting is a must if you want your objects to be clearly and presented in good lighting, and having a few toys up your sleeve wouldn't hurt either. Even if you're just getting started, it's not too hard to make your own ring flash, soft box or reflective umbrellas for more precise control of highlight and shadows.