Harvard was not his first choice.
She would be my first choice for the job.
Where "choice" means "a person or thing that has been chosen or that can be chosen".
"pick" with the meaning of "a choice, or something that is chosen" seems like a synonym.
Is the following sentence natural? Does it mean the same thing as quotation?
Harvard was not his first pick.
Someone might think it is not appropriate to use "pick" when talking about college. However, in one episode of the TV show "Friends", one character (Ross Geller) says
And everyone's telling me, "You gotta pick a major, you gotta pick a major." So on a dare, I picked paleontology. And you have no idea what I'm saying because, let's face it, you're a fetus. You're just happy you don't have gills any more! src