You can't do this because the button does not exist until Button1 is clicked, at run-time. What you want to do is add a handler as well at run-time.
Remove the "Handles" from the "Patiekalai_Click" method. Then, after you create your control at run-time: "patiekalai.Image = Image...." add this line
AddHandler patiekalai.Click AddressOf Patiekalai_Click
This tells the click event of the button to call the selected method.