Whether you are eligible to have criminal background information (including arrest information that's posted on a government web site) expunged (i.e., deleted or destroyed) depends on the laws in the state where the charge was filed. If you PM me with with the basic information regarding your arrest, such as the state, the charge, and the disposition (i.e., the outcome) of your case, I may be able to tell you whether the information may be expunged.
btw, information that's published on a non-government, private, for-profit web site such as
www.PublicData.com comes from government agencies. If the information is deleted by the government agency, eventually it should no longer show up on the private web sites.
Unless your ambition is to become a serial offender, I certainly wouldn't suggest that you hire someone to hack into a LE computer to delete the information. I'm not an authority on computer crime. But having practiced criminal law for more than 29 years, I may be an expert on the mindset of cops. If you were caught deleting or attempting to delete information from a LE computer, I think there would be a chance you would be charged with a felony, maybe even a federal felony.
I also find it a bit disconcerting that you would discuss committing such a crime in a public forum such as this. It just ain't common sense. And a determined LE agent could probably pierce your supposed veil of anonymity here. It's happened before to other posters who openly discussed committing a felony.