Can I put a bumper over a case on iPhone 4?

I just got the iPhone 4. My mom has one and had the bumper and it worked amazing! Her phone never broke!

I want a Doctor Who case like this one:

http://www.amazon.com/...007TN16YK/

Will I be able to put this bumper over it?

http://store.apple.com/...mper-black

I don't think so, iphone can only wear case or bumper

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