This is possible.
The stainless steel inner bowl of the Barbecook Amica is less deep than that of the Joya. Because of this, the grill tabs will initially protrude above the edge of the aluminum tray. When the grill tabs start to burn, their volume will drop so that the grid can be placed nicely in its place. So it is definitely possible to use the grill tabs in combination with the Amica.
