N.P.
I was the same way at that age, except that I had one very close friend and a boyfriend. I was a bookworm and a video game nerd though and when I wasn't in my room reading or playing a game, I was out with either my boyfriend or my best friend. After high school I married my boyfriend and my best friend and I grew distant.
Some people just aren't very social and pushing them into situations where they are uncomfortable could just cause more stress than any kind of benefit they'd be getting by making small talk with strangers.
If she has a job then I wouldn't bother her about how she spends her free time. If she didn't have a job, that's another thing all together.