[20/M] I have a crush on (17/f) who is moving away soon.

I live near the west coast. At my summer job this year, there is a cute girl I like. To be honest, this is a really immature "crush," as I have literally only talked to her about 3 minutes too. It's a combination of her being attractive in a girl next door way, her seeming sweet and bubbly, and me just being pulled to her for some reason. We work in different departments so I haven't got to know her extensively. The other day on instagram I requested to follow her (despite her not knowing I know her name), and she accepted and followed back and liked my picture. I do get the sense that the feelings are somewhat mutual.

The problem is 1. her age. I just turned 20 and she doesn't turn 18 for another month or so. The age of consent is 16, and I wouldn't even want to have sex till she's 18, but the age is still definitely an area of concern. 2. The fact that she is going to school in New England literally in 2 weeks.I also leave for vacation in literally a week and 3 days. Even if I do ask her on a date (and she says yes), I will only get to see her for like a week until she leaves and doesn't come home till thanksgiving. I go to school at home out west at a good state school.

So, clearly, it is bound to fail. In some ways I wish I didn't have these feelings for her as it would make things easier. Is it worth asking her on a date, or texting her, just as a "you only live once" kind of thing?

Tl;Dr: I have crush on girl who is over 2 years younger than me, plus she is moving across the country in like a week. Do I try to ask her out once?