Help with the definition of clique percolation
Technically yes, the graph you describe is one 2-clique percolated community. However, this is a reduced case, since a 2-clique is no more than an edge, and so a 2-clique percolated community is just a connected component.

For k > 2, clique percolation results in communities that are only detectable using this method. The example in Wiki uses 4-cliques.