Could we travel faster than the speed of light?

Unfortunately no. One of the things which Einstein realised from his theories of relativity is that as any particle of mass increases in speed it also increases in mass. By the time the mass has finally reached the speed of light it would have infinite mass which would mean to get it to that stage would have required an infinite amount of energy and I don’t know about you but there are a definite shortage of infinite energy sources in this universe!