Yes it can affect a kid quite a bit

without a doubt. it happened to me.i got taller and my swing got longer so looking back i saw myself really muscling the ball down from the top of my swing to catch up to my feet

Feet grow sometimes a whole size, hands grow and grip needs to be checked. If they are rolling a real light ball, could be time to add a small amount of weight to the ball if a new grip is needed. Been there done that.
jodyk24

Growth spurts can mess with coordination. Check the next to last step if your son has started pulling the ball. Could be that he should try making that step a little shorter.

if i were coaching a kid that was growing i would explain that with proper technique, you can generate just as much speed with slower feet and less muscle in the swing.

I remember joining a junior bowling program at age 15 (second semester 10th grade), and I grew five  inches over the next two years while I was in high school. I stunk as a bowler, so I doubt if that initial growth spurt affected me.

After high school, I grew another four inches, but by then I began spending a LOT of time at the bowling alleys and became an alley rat. My game also improved for various reasons. I do recall that I went up in ball weight (to 16 pounds) by the time I stopped growing, and I went from a conventional grip to finger tip. It took me a couple of plugs and redrills before I settled at the correct span (5-5/8, 5 1/2) and pitches, specifically 3/4 reverse in the thumb.