Marijuana Possession in Kentucky It is a crime to possess any amount marijuana (including small amounts for personal use) in Kentucky. Violations are a class B misdemeanor, punishable with a fine of up to $250, up to 45 days in jail, or both. (Ky. Rev. Stat. Ann. ยงยง 218A.1422, 534.040 (2019).) ... Based on this information from criminal defense lawyer dot com, I'm guessing NO.