To dream that you are packing signifies big changes ahead for you. You are putting past issues to rest or past relationships behind you. Alternatively, it represents the burdens that you carry.
To dream that you are packing, unpacking and packing and unpacking again represents chaos in your life. You are feeling overwhelmed with the various things you are juggling in your life. You are carrying around too many burdens and need to let go. Consider what unfinished business you have to tend to. Try to resolve these issues so they can finally be put to rest.
To dream that you are packing, but the more your pack, the more there is to pack implies that you are weighed down by the endless responsibilities and expectations in your life. As a result, you are stuck in your current circumstances.