Can BFS land on the Moon and return? No aerobraking, no ISRU resources to refuel on the surface for return, but much less delta-V than going to Mars. Landing legs are there, though the engines may be overpowered and require some clever "hover-slam" burn. In general, BFR is not being designed for Moon landings, but - is it capable of them?
There are two parts to this question. (1) does a refueled BFS have the delta-V budget to get from LEO to the surface of the moon and back to Earth intercept (2) can the control systems, landing legs, etc. handle a soft landing on the Moon.
Re (1) the answer is (as usual) implict in the diagram in this question. The delta-V required is about 8.7 km/s. This year-old chart suggests that this is achievable witha payload of perhaps 25 tons. If some (most) of the payload is to be left on the Moon then this will increase somewhat. So, on the face of it, this is OK.
This discussion suggests that it might be helpful to do some refueling in a higher orbit in order to carry a larger payload. That means more tanker launches, since each one carries less, but it might offer a way to get a large payload to the Moon.
Re (2) one raptor has a full thrust around 2MN and the mass of a BFS with payload and return fuel is going to be something around 200 tons, one engine will provide about 1 Earth gravity of acceleration. Even throttled down it will be too much to hover (though OK for Mars, unsurprisingly enough), but SpaceX do seem to have nailed the problem of landing under those conditions with the F9. Another problem is uneven ground. So far they have only landed on smooth steel or concrete surfaces, but with their Mars ambitions they will need to solve that one anyway.
So, in conclusion, yes, it can, although even fully refueled the payload is significantly reduced.
If we're going to be doing this a lot, it would make sense to design a dedicates lunar orbit to lunar surface shuttle vehicle. There is no real point in taking your Earth return fuel, your heatshield and most of your engines down and up a 1.6 km/s gravity well, rather than leaving them in orbit.