Can I gift a movie from iTunes

According to the article you referenced, yes. I have posted the restrictions below.

When purchasing an iTunes Gift, a valid credit card must be on file; you cannot purchase an iTunes Gift with store credit. Purchased gifts cannot be redeemed outside of the country of purchase. For example, an iTunes Gift purchased in France cannot be redeemed on an iTunes Store outside of France. You can contact Apple Support to cancel an iTunes Gift up to two days before scheduled delivery.