No a credit check will bring up all the credit accounts you've had with information about the status of those accounts if their paid off and settled if your payments are current and on time or if you're in default. It will also show repos and foreclosures if there are any. The only way to view a criminal history is to pull a criminal background check.
A credit check will not bring up a criminal background. It will only bring all your credit accounts that you have had with information about the status of your accounts if they are paid off and settled fully or not.