I found a exploit where you could atleast store the items in the resource tab dunno about the quest tab here it goes
I asked my friend to hold the better items I gathered and switched to my alt. Then I got all those in alt and keep it there so I dont wander around with bags full wont help a lot since my alt gets full quickly but worth a try to the really nice items you find to sell.
After I gave my items to my friend and switched to my alt, I accidently had the resources tab open during trade(cause i was giving him some resources), after he gave me all the armor items and I closed trade I noticed all the items were stored in the resources slots and not in the normal bag o.O
Of course being the items there, you cant sell them to vendors, they wont show up.. the only way to retreive those items was trading again
But it could work if you are playing with a friend and people get full inventory.