If you inject carbon nanotubes into the body, can we produce antibodies against it?

Question

some ideas:

- my answer is yes and no... the carbon nanotubes are too large for the t-cell to destroy it; therefore, they won't have an affect.

-plus our whole body is made of carbon; therefore, our immune system wont realize there is an intruder

-can only degrade carbon nanotube if there is a compound that attaches to the protein