Could a Fedex or UPS employee decide not to deliver a package because they might object to something inside it?

Easy example: Let’s say I placed an order for several dozen condoms. The box is not in a protective carton, so the contents are visible. The delivery person is a devout Catholic and is completely against birth control. Can he or she decline to deliver my package?

Harder example: A hospital is shipping a pig’s heart using Fedex or UPS to a medical center for experimentation. It’s wrapped and on ice. It’s labelled as biological material. An Orthodox Jew drives for UPS. Can he decline to handle the box that holds the pig’s heart?

To what degree do the religious views of the handler allow that person to decline to do their job?