Yes. You would have a waiting period before you could get a CHL but you can legally purchase and possess a firearm.
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Controlled substance use can be reported to NICS by the state and is a federal disqualifier under 922(g)(3). This may follow an admission of use or failing a drug test under certain circumstances. If use is reported, an individual may be barred from possession or purchase for one year. An reported user of a controlled substance will not pass a NICS background check when he or she goes to purchase a firearm. Follow the link below for more information.
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