Can you? Yes, most likely.

Will they hire you? Probably not. Starbucks is being very very choosy about hiring because they're trying to stifle the union efforts.

My store is unionized and we’ve hired over 5 new partners since unionizing. We have a similar turnover rate to non unionized stores and need new hires. Starbucks might be anti-union but they’ll still hire necessary people for profitable stores