I want to make sure that I got the idea right, sorry for my eager curiosity.
I think the residue-residue contact/distance profile in the interface of any two protein structure pair placed in the same place, that profile will reflect that whether two proteins interact or not (in this case interact here refer to the meaningful interaction that will lead to biological function). If two proteins interact, I think there is a subset of residues of this protein will be close enough to a subset of residues of that protein. In contrast, if two proteins do not interact, there is not any subset of residues of this protein will be close to subset of the other. In some cases, whether exist two proteins that do form any meaningful interact but their residues stay close together in long enough time? I suppose that there is not, they can not get in close long enough if they do not form any meaningful interaction.
I hope that I got a right understanding, if it is not, please let me know. Thank you!