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1.
Jamaican patois term essentially meaning "big hit" or "big pull," referring to large doses of strong ganja (marijuana)...popularized by the Junior Kelly reggae song of the same name.

It's Friday - gimme the boom draw and mek we start de session.
by Fast Fred June 26, 2008
 
2.
a boomdraw is when your buying weed and the guy grabs two handfuls of weed and gives it to you with no bag
Yo porch monkey you got that for that boomdraw I hooked you up with last week
by Jah Dan April 14, 2011