Do amazon packages come earlier than the estimated delivery?

I got this iphone case from amazon on the 24th of July (Wednesday) and the estimated time is aug 19 - sep 5 is it possible for it to come earlier then that time oh and I don't know if this helps but the carrier is usps

Rarely if ever, do the packages arrive EARLY.
If you do not already have it, call them up for a
tracking number so you can track your package.
This gives you a good indicator where and when
it will arrive.