A qualified Yes - Theoretically Possible - and new developments need presenting at this time as referenced below.
One method -
In theory if we can bend the 100% incoming light around the object the object would be invisible. MetaMaterials with negative refractive index can do this.
Second method -
If we can scattered the light sufficiently that too should will render the object invisible. Fano Resonances is one way to accomplish this.
http://www.nature.com/articles/srep08774
There are a number of other methods under devbelopment :
"Several approaches for achieving the cloaking regime have been proposed on the basis of metamaterials, and they employ transformation optics, cancellation of light scattering, nonlinear response of multi-shell structures, as well as the use of multilayered plasmonic particle, graphene, and magneto-optical effect with an external magnetic field."
- Bending light methods with negative refractive index using metamaterials
Source :
https://occupycorporatism.com/scientists-perfect-nano-tech-develop-invisibility-cloak/
UCF - University Central Florida NanoTech Group has created Metamaterials that can be printed on a 3D printer that a very reasonable size.
Debashis Chanda at the University of Central Florida (UCF) has created a way to bend light with artificial nanostructures to develop an invisibility cloak.
Chanda and other nanotech experts have developed a large swath of a “multilayer 3-D metamaterial” that operates “in the visible spectral range”.
This was accomplished by “using nanotransfer printing, which can potentially be engineered to modify surrounding refractive index needed for controlling propagation of light.”
Chanda explains: “Such large-area fabrication of metamaterials following a simple printing technique will enable realization of novel devices based on engineered optical responses at the nanoscale.”
http://www.nanoscience.ucf.edu/chanda/images/news/BeforeItsNews.pdf
"The nanotransfer printing technique creates metal/dielectric composite films, which are stackedtogether in a 3-D architecture with nanoscale patterns for operation in the visible spectral range. Control of electromagnetic resonances over the 3-D space by structural manipulation allows precise control over propagation of light."
Interesting Source already mentioned : { but not the latest }
http://science.howstuffworks.com/invisibility-cloak4.htm
I mentioned I qualified my yes above because I considered this question more deeply over lunch and I see a flaw that needs to be addressed. Although we maybe able to bend light around the an object and perhaps scattered it sufficiently via Fano Resonances I think that we will also need to adjust for the background's light moving to the observer. Looking at this more closely suppose a tree is in the background of the object. We would probably need to take the light that is coming off the tree behind the object and in someway change its path and move it around the invisible object so that the observer sees the tree. Any help on this point is appreciated.
In closing I would have to conclude we are not quite there yet but we have made some well worth mentioning progress.
