In order to complete this achievement you need to Deliver any fragile package by getting to the end of the run within the given time limit.
The best place I found to do this is in a fragile delivery called "Memento" near the headquarters safehouse (The Lair). This is a very easy and short delivery and it is also one of the first you will come across.
Tips:-Always skill roll when doing jumps or dropping down somewhere. The skill roll will ensure a soft landing and keeps the package safe.
There is a package symbol displayed at the top of the screen. If you see it taking damage you must restart the delivery (either by letting the time run out or killing yourself and it will auto-restart). Alternatively you can just pause the game and restart the mission.
Here is a video walkthrough with a good speed run allowing you to finish the delivery with a reasonable time left on the clock which would allow room for a couple of errors.
Credit to PowerPyx for the video.