Is there any other picture or article that shows the process and the results?
[1] The ant's head image is exactly the same one as here, with the SEM text overlay cropped out: http://www.fieldherpforum.com/forum/viewtopic.php?f=36&t=150..., the eye of the needle is identical to the one on this page: http://www.aber.ac.uk/bioimage/image/image.htm, and the human hair is an image reversal of this one: http://www.d.umn.edu/news/2008/August/01-A.html.
I can't speak for how these specifically were positioned, but in general I don't see a problem with it. It looks like they're supported by gravity, and under vacuum the surfaces are likely going to be 'sticky' anyway due to electrostatic forces. As for the positioning, micromanipulators are common in electron microscopes and should be capable of it, though they're usually used for different purposes!
Surfaces are sticky, but the environment is too. It's hard to imagine what those figurines could be made of to stick that well to a cell wall - and how to 3d print whatever material that is.
I also call it a hoax.
Someone just learned how to play with Maxwell Render. I call hoax.
He just says to trust him that they were there, and that people love to hear stories :)