Dragged is the past tense of the verb drag which means to pull someone or something forcibly.
"The teacher dragged the arrogant boy out of the classroom."
Drug as a noun is a substance taken as a medicine, although it is still commonly used in some American dialects as the past tense of drag, though that usage is wrong.
"I had to use a drug when I felt sick a few days ago."
Dragged is the grammatically accurate past tense and past participle of the verb drag.
“Jin dragged his old suitcase out of the attic and started packing.”
You will hear some people use ‘drug’ instead of dragged in certain regional dialects.