You could have cellulose blown into the wall cavities, but if this is an older home there may be blocking within the stud spaces that'll require extra holes be drilled for fill. You would then need a scan done to the walls to insure all the cavities are totally filled. Assuming this is an older home, there will be no vapor barrier on the warm side of the room, thus any moisture from the interior that presently breathes to the outside could get trapped in this new insulation. So, you would need to then also paint the walls with a paint that has a built in vapor barrier, such as BIN made by Zinsser. This is a primer with a built in barrier.
Here's a bunch of links to give you lots of details.
http://www.taunton.com/finehomebuild...ges/h00021.asp
http://www.healthgoods.com/Education...insulation.htm
http://www.oldhouseweb.com/stories/Detailed/10215.shtml
PS: If you do happen to find any vermiculite in your home that was used for insulation, do not disturb it. Not all, but most vermiculite contains asbestos, left alone it is harmless.
http://www.inspectmichigan.com/watsonsj/May00WJ.htm