Every cop in this city is gonna be blasting down these doors after what you did.
What does the marked phrase mean? Is it something like "break the door down"
Literally, it means the police will blow open the door with explosives (or, at least, great force).
Figuratively, it means the police will quickly come to arrest them, using every means at their disposal (including, presumably, explosives or great force).
The figurative meaning is more likely in most contexts.
To explode or destroy something or someone with explosives, or to break through or hit something with a similar, very strong force:
A tunnel was to be blasted through the mountains. They heard the guns blasting away all night. figurative Their latest album blasted (its way) up the charts (= moved very quickly because of its popularity).