Possibly but what would ground someone better than the earth. I suppose if you were holding the water line and were standing on the ground (dirt basement?) without shoes. Or if you were grabbing two different things.
That being said I concede that the water line might not be continuous to the ground. Which would be bad.
If you’re sure that the wall outlet is properly grounded, you could try running a grounding wire (8 Gauge Copper) from the washing machine case/shell to a cold water pipe. Depending on your area its probably no longer up to code but barring a few situations it should work. It should go without saying, but this only works if the water pipe is metal…
I think you’re on to something here. I play all kinds of games with friends, and DOTA was the only one where I’d actively get shit on for my lack of skill. And that’s from real life friends too.