No, you can't: once your fingerprints are submitted to FBI they cannot be removed, even if your case was expunged or you were exonerated. However, the FBI has strict guidelines by which they handle...
That's classified...there is more than 450 million fingerprints in the FBI master database of criminal file trust me i looked it up at a educatinal site in science class its right ;D
Fingerprinting is done for many things other than searching criminal records. HOWEVER - IF your fingerprints are used to access your criminal record, the adjudication and the reason for your arrest...