Is it Possible??

To complete what millercarbon just said about too much higher frequencies coming from speaker...

I will say that no speaker sound the same in different room and they all sound different if we change the acoustic treatment and active acoustic controls in a room...

Read about acoustic treatment and control...

If your speaker sound better from another room or behind them you have a room problem or a gear problem or the two...

The good news is you could suppress the problem completely if it is the room or help it greatly  with acoustic treatment if some piece of gear is not so bad or not well match...

What speakers are you using?

Interesting, I know little about Frequency response so your insight is helpful.  Would another solution be to look for speakers that have a lower frequency response?   What would be the optimal frequency response I should be looking for in a speaker in order to achieve the type of rolled off I am looking for?  Thanks for your insight.

A pair Carrera 7BE Speakers made by Fritz Heiler.  I recently changed them out and tried my old pair of Carbon 7's also mad by Fritz.  I thought they were much smoother.  Could it be the fact that the Carrera's have beryllium tweeters?  

I think so.

There was one UK reviewer, Jimmy Hughes, who used to prefer his speakers facing the front wall, ie away from him.

I’ve certainly heard speakers that sounded better the further I was from them than usual.

It’s as if their harsh distortions became more tolerable as you moved out of their line of fire.

As said above, you might need better speakers or just stick with your Carbon 7s.