There's no way to do it automatically, but you could do it semi-automatically in Lightroom. The hard part would be figuring out what amount to crop off, but you could figure this out by shooting a piece of graph paper or something similar taped to a wall.
Open this image in LR's Develop module, and crop it appropriately. Holding down the Alt key while dragging a corner tab will crop all four corners equally. Otherwise you could unlock the aspect ratio and crop freely. Keep that as a reference image.
Now in Grid view Ctrl/Cmd or Shift-select on every other image you want to crop to the same dimensions, setting the reference image as the 'most selected'. Go back to Develop, select 'Sync', uncheck all and then check Crop/ Aspect Ratio only. Click Synchronize and every image will now be cropped to the same dimensions as the reference image. If you have portrait/landscape images, you could create two smart collections, filtered by aspect ratio and do them separately.
Mike.
P.S. Pressing the 'S' key in Develop will crop the current image to the same as the previously developed image.