Comment by ErroneousBosh

It's been being done for 70 years or so. You just need to be able to generate quite a lot of power on VHF upwards, and have a very low-noise antenna preamp, and a large array of directional aerials to focus the signal.

If you're reasonably handy with simple hand tools you can build a moonbounce array for a couple of thousand and a month or so of evenings.