It can happen, or at least look that way when you release it. The only way to know for sure is to paper test at different distances or bare shaft test.

If you are consistent enough and have good enough follow through to see your arrow on the way to the target half your battle is over in my opinion.

I am never concerned with what I see an arrow do in the air as long as I am confident my bow is tuned well.

Wind will really whip the around as well.

Cork screwing is something entirely different though. If you see this you have a bent arrow, a grossly miss aligned insert or something seriously wrong with your fletchings.

Paul