Can I transfer credit from an iTunes Gift Card to an Apple Store Gift Card?

Unfortunately, you won't be able to. I was mistakenly gifted $200 in app store cards instead of apple store which i had wanted to buy my new computer. Over the past 2 months, I have spent over 7 hours total over 3 phone calls along with numerous emails trying to get a resolution to this same problem. I was misinformed repeatedly and finally my "case" went to an escalation board (after talking to multiple 'senior advisors'). They turned it down and gave me 3 free movie rentals for my troubles but basically said too bad, so sad. Worst customer service experience ever. The ironic thing is, I too was going to use these to purchase apple products. So apple was going to get the money either way. But instead of having good customer service, they decide to scam their customers by having two different cards in the first place that aren't interchangeable. Horrible, horrible experience. Sorry to be the bearer of bad news.

That is not possible.

Yes, they did the same thing to me. Many representatives told me that they can switch my gift car from iTunes to Apple store gift card and they transferred me over and none of them could fix this issue. They even gave me a case number. This gift cards are misleading because both App Store and Apple store, they do this on purpose. This is ridiculous and so unprofessional. Now I'm stuck with $200 app gift cards that I have no use for.