Is being gifted learned?

My 5 year old daughter just had a reading test done at school and I knew she was good at it as we work with her all the time, but they said she is close to a 3rd grade reading level. I didn’t know it was that high though. My daughter also seems super sensitive to “things” such as clothes (she finds some clothes itchy and clearly they don’t seem itchy at all, not like we are making her wear wool sweaters, she also has a thing for the seams on the socks if they aren’t right they bother her as well as tags on shirts all have to be cut off. So I was reading up on gifted children and it said hypersensitivity was one trait common in gifted children. My question is though, is gifted learned? I was have a discussion with someone and we were kind of arguing about it. He said any child can be gifted it’s just the way you raise them. I don’t agree, I think it is more something they are born with but of course you have to nurture it to bring them out to their full potential. So I just want to know if anyone knows if it is something you are born with or do you actually teach a child to become “gifted”, can any child turn gifted?