The simple answer is no. Rising damp is a common phrase used by the chemical industry to make money selling chemicals that are unlikely to be needed in your home.
If rising damp existed, wooden bridges would be rotten, houses in Venice would have deteriorated many years ago, and concrete bridges supported by pillars in water would be saturated.
Rising damp is a fallacy, its nothing more than a myth. In fact, the former chairman of RICS (Royal Institute of Chartered Surveyors) Stephen Boniface, wrote an interesting article on the very subject.