While it is possible, it will not do anything to improve accuracy. Why?, because unless you have a match chamber in your AR (which are few and far between, Bushmaster made one for their Varminteer rifle with a 26 inch bull barrel) your cases will spring back to almost their original size even after being fire formed.
AR chambers are reamed to accept a large variety of different mfg's rounds in a semi-auto mode in most cases as 5.56 ammo which has slight different dimensions than what you will be using with 223 dies. You in effect be resizing the cases to 223 dimensions and not exact 5.56.
While neck sizing fire formed cases works very well for bolt action rifles with tight chambers, it is of questionable value for semi-auto's.
To help improve your accuracy, you efforts would be better spent on replacing an AR's trigger group with a Match (adjustable) trigger or spending your money on a percussion made bolt group and stainless steel firing pin.
Making better and more consistent reloads (amount and type of powder) will go far in improving accuracy. Neck sizing will be at best minimal in your search for a better round to fire out of your AR.
I full length resize in small base dies my cases for 223/5.56 to insure there will not be any feeding issues.
Good luck and strive for more consistent reloads in your pursuit.
Stay safe.
Jim