Stick is a verb or a noun.
As a noun it usually describes a thin piece of wood that has fallen or been cut from a tree.
For example: Walk softly and carry a big stick.
As a verb it can mean to push a sharp or pointed object into or through (something), or to fasten or cause to adhere something to something else.
For example: Our boss often sticks notes onto the notice board.
Sticker as a noun is used to describe an adhesive label or notice, generally printed or illustrated.
For example: A lot of children collect stickers printed with cartoon characters that they keep in a sticker book.
So, I guess you can stick a sticker on a stick.