In general I'm going to have to say no, but consider this... many sponsors have multiple sites in the same niche. For example, at
Top Bucks we have several lesbian sites, several MILF sites, etc. What you could do is make a blog surrounding a sponsor that features each site of the niche in question. If you did something like this, I think that more sponsors would be a little more flexible as to allowing you to use their content as a design element.
If this is something you would like to set up with
Top Bucks, let me know and we can discuss it.