Is it possible when copying / duplicating a card in Trello to set the card to go to the top of the column you are copying / duplicating it to?
When you copy a card you should see the "Copy to..." options appear that allow you to select the Board, List and Position you want the copy to go to. Just click each button to change the default selections.
Position means 1 is top of the list. Default position is usually LAST on the list, however many cards there are in that list.
If you want to put the copied card into the top 9 entries in the list, tap that number (1 - 9) after clicking on the position button. (tapping 1 will put the card first in the list)