I’m pretty sure it could, just not as a single load the size of a LEM. It could do multiple trips to orbit with things we could in theory assemble there and trips to fuel it. Or maybe one trip to the moon with a far smaller payload (like a modern drone…but I don’t know that we could get a drone that could actually land on the moon without going splat that way).
I’m going to assume the BFR could do it though 
