The time it takes to pack for a move depends on the size of your house, the number of people helping pack, and the hours you can commit to packing each day, which will determine how long it takes to pack for a move.
If you're highly motivated, own an average size home, and have a few friends or family members willing to pitch in and help, follow this How to Move in 3 Days Guide - you should be able to complete your packing in 2-3 Days.