No. But the Berlin Wall was an example of what certain right wing extremists and people who do not understand borders want to have. But history shows it was a failure, since 15 million Germans illegally emigrated despite the fence.
DHS does not favor fences, except to move traffic from high population density areas to lower ones, where EWIs (entered without inspection) are more easily detected. They need more agents and technology to be able to concentrate on preventing smuggling. They do not need help to catch potential maids and landscapers though.

