Yes, however, this requires cooperation.  A cooperating witness with the government can receive a downward departure from the mandatory minimum sentence.  If the government makes a “5k downward departure motion”, a judge is not bound by the mandatory minimum sentence.  Downward departure motions are made under seal so that they are not available to the public.  A person charged with a Federal Drug Sale or Drug Possession may also be eligible for the safety valve exception which also allows for a judge to sentence someone below a mandatory minimum sentence.