Yes it is possible. The DeWalt website(and probably others) has a table of how to cut odd angles.

Hmm. I have a master's degree and a bachelor's degree in mathematics. I would not want to handle the trigonometry on this and hope to get it all right with a small scrap pile.

Needless to say, I'd be working with 1' long pieces to get the angles proofed before committing to a long piece of molding. Also cut the longest pieces first so if you do screw up, you can reuse the mistake on a shorter run.

Here's a couple of pictures that show the area I am most concerned about (excuse the messy painting job....I have to do some touch-up). I am really not looking forward to even thinking about these cuts!!

you need to put in two sided beam at the cieling all the way around the room to pull all of the (ceiling) down to a 90 degree angle going around the walls with crown butted up to the beam make it possible to handle the compound miters. the beam need only be 1 1/2 tall and have enough protrution to recieve your crown size.
hope this helps

if you are painting the trim you can cobble the beam face piece around the off-sets and change in pitch many different ways. the goal is for the "easier" 1x material
to create a 90 degree landing area for the top of the crown.
as for the outside and inside compound miters you probably
have 11 degree in the lesser angle up to 30 degrees. outside angles about the same 22 to 45

There is no neat and easy way to run crown there. It would involve splitting the horizontal and vertical portions of each turn into separate transitions. Same goes for turning the main wall run into the raking run. It can be turned in steps or with blocks, but neither is preferable.
The old-time Audels-approved way was to have a different profile of crown made for the horizontals and the rakes, which would indeed miter to each other perfectly at the corners, even though they were different profiles and sizes.
It's the change of plane in two directions simultaneously that are hard to deal with. Turn any corner in one plane, fine, but add a incline angle to the mix and you're beyond what the molding can do.
Casey

I would put cobwebs in the corners ;-)

Thanks for all the advise. Unfortunately all of it is out of my league....except for Rockhead's advise which I am sure I'll follow. lol!! I think this is either a job for an expert, or one best left alone. In hind sight, I should have moved the peak of the ceiling over to the right about a foot, but it's too late for that now! I'll just learn to love it like it is, with no crown.

OK...here's another idea. what about running a flat moulding up there, like baseboard or maybe something narrow like a chair rail? It seems like my biggest problem is dealing with the fact that crown angles out into the ceiling. So that that out of the mix, and I am now only dealing with flat surfaces. Would that look OK? Maybe not as nice as crown, but I think it would look better than nothing. I wish I could find a picture of what I'm talking about.