Other Issues: Can You Legally Enter the U.S. with a Misdemeanor Criminal Record

I got caught with using a fake ID a few months on J1 visa and i wasn't arrested or anything but had to pay a fine. Im still in the US and i'm trying to go to Europe. Will i be able to enter US when i come back?

I appreciate your help!

Other Issues: Can You Legally Enter the U.S. with a Misdemeanor Criminal Record