carbon as an element one molecule with 4 empty bonds
Carbon does not exist in that form, that is to highly unstable. So your answer would be yes, carbon will react with elemental carbon at room temperature to form the many allotrops of carbon, most likely graphite.
You must realize that while the periodic table is a list of the chemical properties of the elements, most do not exist in that form in nature. A carbon with nothing attached to it is highly reactive. It would react with more carbon or the oxygen in the air.