yes, it is a thing
We all have influence over each other and end up doing that in a variety of ways to various extents. But the culmination of these influences is called “Interfluence”
Just being aware that we are interfluent by itself changes our perspectives on the way we look at things immensely. Influence is a two-way or a multi-way street with an embedded give and take.
Interfluence: flowing between or among: passing into one another as if by a natural flow: intermingling.
Credit: Merriam-Webster dictionary