AmateurRadio.com

Yes, it is possible to hear a long way on a crystal set. The equipment needed can be extremely simple too.  What is needed are a good pair of ears and sensitive headphones.   My ears are getting old and if I can hear this DX then younger ears certainly can. I have found a low cost very high impedance crystal earpiece worked well. You may have better headphones?

Copying amateurs, most of whom use SSB, is more difficult. Remember, a simple crystal set is only able to envelope detect, although in the USA 75m AM signals are regularly copied at great range. Some SSB signals on 10m Es should be strong enough to envelope detect. Based on my tests, if stronger than 500uV to 1mV the signals should be copyable. Quite a few signals can be this strong.

See  https://sites.google.com/site/g3xbmqrp3/hf/crystalset .

Some years ago, QST had an article on a crystal set based on a zero bias MOSFET.  Although I have yet to try this sort of design I have no doubt they will work well.  Crystal sets derive all their power from the TX and in the past I have achieved some remarkable (well for me!) results.  Best was receiving Radio Australia (from Australia) as well as some amateur Gs on 80m and 160m at a considerable distance. In the USA some 75m AM amateur stations are regularly heard at great distances.

See http://makearadio.com/visitorsprojects/ralf-mosfet.php .