Once you make the visibility of an Item false, it can no longer be clicked. You can handle the click event on the form or container level, check that the mouse coordinates are contained in the bounds of the PictureBox and use that to make it visible again.
i.e.
//Common eventhandler assigned to all of your PictureBox.Click Events
private void pictureBox_Click(object sender, EventArgs e)
{
((PictureBox)sender).Visible = false;
}
private void Form1_Click(object sender, EventArgs e)
{
foreach (var item in this.Controls) // or whatever your container control is
{
if(item is PictureBox)
{
PictureBox pb = (PictureBox)item;
if (pb.Bounds.Contains(PointToClient( MousePosition)))
{
pb.Visible = true;
}
}
}
}