It's not that she "can't" or that she "can"... ANY chicken "can" brood and hatch chicks. The thing is, with most production breeds today, broodiness has been bred out of them in favor of continuous egg laying. Every now and then, the "broody gene" pops back to the forefront and you'll get a production breed that will go broody.
But, no matter how you try, you can't "make" a chicken go broody. If you DO have a broody hen it's sometimes difficult to get them to stop

They either will, or they won't and you won't know until one decides to do so.
Even if you do luck into a bird going broody, unless it's a known breed that broods, there's no guarantee that she'll stay with it till the end, or she may destroy the eggs or the chicks when they hatch.
Save yourself a LOT of angst and buy an incubator and YOU can brood the eggs. That way you have total control and can hatch out as many pretty littles as you desire. As an aside, eggs from 1st year layers sometimes don't do so well for hatching...