There is no vaccine. They cannot invent a vaccine for the common cold. This is a feel good measure that at best will relieve some symptoms with the hope of allowing the body to fight the virus better.
There are plenty of vaccines against viruses (measles, smallpox, rubella, mumps). Just because there is none for the HUNDREDS of varieties of the common cold, means little. That said, even if they did make a vaccine that worked, it would be years before it was ready for the general population.