Pretty much all of them let one person get any award for someone else. Every one I've ever looked at does. However, that's not the same thing as saying the specific airline you care about does: there may be an exception out there. You didn't say which airline you're asking about, but they all have forums here. If you check the forum for that airline, you may find the question has already been answered - often in a "sticky" FAQ thread at the top. If not, you'll at least find a bunch of people who know the answers for that airline and won't ramble on about "pretty much all of them," since you don't care about pretty much all of them.
(The advice in post #2 to check the airline's Web site is also good, but we all know that airline Web sites aren't always easy to navigate and don't always have the information we're looking for in a place where we can find it.)