The only way to speed up shipping through USPS, UPS, FedEx etc is to upgrade the shipping process such as overnight or Priority mail.
You have to pay extra for overnight shipping or for any upgrade to the shipping.
Upgrading a package to overnight shipping can cost as much as $50.00 or more depending on the shipping company and the size of the package.
Unless the package is an urgent package then it's not worth the extra cost to pay for overnight shipping.
Most packages take 3 days to 4 days to reach you through USPS, UPS or FedEx and you just have to be patient.
However Amazon ships most packages the next day and they arrive within 1 day to 2 days at most.
But for most of the rest of the packages that go through USPS, UPS or FedEx take 3 to 5 days to get to you so just be patient.