I am an employer. Recently, an employee wiped clean his online personell records and stole his personell files from the office, can I press charges?

You probably can press charges, but be guided by the following: first, in "pressing charges," what you will be doing is making a complaint with a law-enforcement agency. Any fine or other recovery will belong to the state, and it will be up to the prosecutor to decide whether to prosecute the claim at all and whether and on what terms to settle it -- not up to you. Second, if you "win," you get nothing except the satisfaction of knowing you harmed the employee. It doesn't sound as if your business was harmed in any particular way by this employee's actions. Maybe the best thing to do is lick your (very minor) wounds and move on?