Hi there!(my first post in stackoverflow)
You have to use PopupList component of com.nokia.mid.ui. There is no problem to use this with LWUIT.
As you can see in the javadoc. It is the example:
PopupList list1 = new PopupList();
PopupListItem item1 = new PopupListItem("Item1");
PopupListItem item2 = new PopupListItem("Item1", image1);
list1.appendItem(item1);
list1.appendItem(item2);
list1.setVisible(true);
The position of the menu will be good to your target.