No, they did not. The buildings withstood the immediate impacts, but with the heat shielding blasted from the steel supports and the fire suppression system not functioning, the fires were able to burn long enough and hot enough to weaken the steel, and this, combined with the structural damage from the impacts, led to a failure of the structure that permitted the floors above to begin falling (the whole section of building above the point of failure began coming down as a whole), and that force (weight and momentum) then brought the rest of the structures down. You can watch any video of the collapses and see this happening, without any explosions involved. Idiots will claim that dust escaping through windows during the collapses are explosions, but of course they are but the visible manifestations of dust- and smoke-filled air being pushed out by the collapsing floors/ceilings. There are no flashes and no sounds of explosives. No evidence of explosives was found in the wreckage. It's clear how those towers collapsed, and it did not involve any explosives.