Can it be done... I would think so. Your best bet is to seek a firearm attorney in your local area.
No person convicted or adjudicated guilty of a felony (including suspended sentences and probation) may possess or own any firearm unless: 1) the person's conviction is dismissed under § 16-93-301 et seq. (first offender) or § 16-98-303(g) (drug court) (see infra Part II B); 2) the person is granted a pardon expressly restoring the ability to possess a firearm; or 3) the governor accepts the recommendation of the chief law enforcement officer in the person's residence to "restore" the ability to possess a firearm (available only if the underlying felony or adjudication did not involve a weapon and occurred more than 8 years ago). See Ark Code. Ann. § 5-73-103; see also Irvin v. State, 784 S.W.2d 763 (Ark. 1990) (under prior version of statute that made expungement mandatory, no prior conviction for purposes of statute despite fact that state officer had not completed ministerial duties necessary for expungement).