Should you keep applying at a place that's rejected you before?

I'm trying to get a job at a big retail company. I've applied once over a year ago (for a position I was definitely unqualified for) and was rejected. A couple weeks ago a job popped up for a store associate, so I applied. I was turned down again, I assume because I have only worked as a fast food cashier and as a construction worker, so no retail experience.

Yesterday, an opening for an asset protection associate popped up. The only qualification is that you have a high school diploma.

I'm wondering if I apply, will they just turn me down instantly again because they have me blacklisted or something?

I've been trying to find a job for weeks now. I just wanted something decent till I can save up money to go back to school. Trying to get something other than fast food.

I've don't have a criminal history, and I was a student, but I'm not going back next semester so my schedule is totally flexible.