An 11 year old family friend asked for a name-brand gift and I'm thinking of getting her a gift that is a generic version.
Is it because you don't like the brand?
Yes, I don't like brands and I just wanted to get away from this issue.
When a child asks for a specific gift, it's fine to consider the gift if it is within your price range. However, if the gift is over your budget, you should not feel pressured to buy it. You may resent having bought the item if you get something that you cannot afford.
I don't care if I'm being greedy or not.
I don't think it's greedy to buy presents for people that are within your budget. If you're worried about money, instead of getting her a generic version of the gift she asked for, you can take her to do something that is less expensive. For example, going on a hike with someone can make more lasting memories than a physical gift.