Assuming you are using yEd's Organic layout algorithm to arrange you sociograms, the answer to your question is no.
The Organic algorithm treats nodes as repulsive forces and edges as attracting forces. yEd does not offer a way to specify the strength of individual forces, though (i.e. you cannot specify the repulsion between one pair of nodes to be stronger than between another pair of nodes nor can you specify the attraction for one edge to be stronger than for another edge).
Moreover, it is not possible to have an edge act as a repulsive force instead of an attractive one, either.