Very unlikely, a friend had a similar problem for a conviction about 14 years ago. Technically if you have ever been arrested you are supposed to declare the arrest/conviction in accordance with the USA visa waiver program. However the form you fill in on the plane states you must declare convictions of moral turpitude. My friend did not declare her conviction as did not believe it was of moral turpitude. The US immigration take your fingerprints however it is to check if there are any outstanding warrants or crimes committed in the US. Don't worry, have a good time.