Anything is possible. Sound deadening materials could be added to the interior of the game, especially a modern game were there are less electrical parts in the cabinet. You do not want to cause permanent damage to the game, if you plan on selling it. Leave room for the playfield, do not block any air vents. It is your game do what you want.
Just getting the feet of the game off of a solid floor, will cut some sound transfer. One Pinsider has cut up some flip flops, using the sole of the shoe as an insulator, he said it worked good enough for him. Others have used various rigid foam boards attached to plywood to make insulating foot pads, trial and error will be needed.