That depends on the laser’s wavelength in relation to the size of the particles in the smoke. The longer the wavelength, the larger the particles must be to affect the light. IIRC, Saddam’s attempt to use smoke to hide his troop movements during the war failed because our satellites and surveillance aircraft all used long-wavelength IR sensors that were able to peer through the smoke. He couldn’t see us, but we could see him. Had a long-wavelength IR laser weapon been available at the time, it would have been more than capable of shooting through the smoke.
This is addressed with additives to the smoke. The Russians were always very smoke conscious, so spent a lot of time developing obscurants to mess with US sensors and equipment. Likely they would have no problem selling this technology to just about anyone.
Dig a pit, fill with diesel and additives, ignite.