Yes, but Burst Fire or Full Auto with a M4 is a little different matter.
You're joking, right? Those things are pipsqueaks and always have been. I carried a BAR when I was a PFC and that puppy was completely controllable - so much so, I could easily keep all of my rounds into man-sized silhouettes as far as I could see them. You could actually see the strike of the rounds through the peep sight and control your fires.
Never had to worry about too many hits with a BAR either: when you connect with a Caliber .30 M2 Ball (.30-'06), they stay down.
If you really have trouble controlling a 5.56 in full auto, might I recommend the .22LR?