Anything is posible, but NO, out of the box there is no way to achieve what you are after. Meaning the needed logic is not built into bbPress.
Thank you for the responding to me query Anoited!
I feared that I would get this response, I hoped that perhaps there was a plugin or someone previously may have wanted the same functionality.
Basically what we want is a forum where people can posts training requests, and the logged in training providers could respond, but we need the responses to be hidden to each other so that rival training providers do not get into a bidding war (so to speak).
Perhaps there is a way of editing the plugin so that the code used to display the responses has a conditional statement that will only allow the topic originator and admins to view the responses – not sure how difficult this will be to implement if at all possible.
From what you have described you would be better off using a support ticket system instead of a forum. There are a number of really good ticket systems available for WordPress and they do pretty much exactly what you are asking for. Better to do that, than to try and shoehorn bbPress into doing something it was never designed to do.
Your post helps me understand a lot. Thanks for sharing. Hope to see more informative post on your forum.