It is possible to synthesize silver with modern equipment, though. Although I concede that the production cost would end up being magnitudes of order greater than any value received. Our civilization would have to be on the Dyson Sphere level to even come close to making that economical.
I think the fact that years ago, everyone knows that solar energy requires massive amount of silver and yet silver failed to stage even a meaningful rally is quite bearish. Even China, which is on Silver Standard for a millennium and was one of the largest silver producer in the world (still is), doesn't care about silver. It just means that silver has been demonetized. A study on why something would be monetized (like bitcoin) or demonetized (like silver) is an interesting topic in itself. But now days, I just give away those silver maples/eagles as souvenirs. Pretty much no one has a clue on how much these lovely coins are worth.
As for Dyson Sphere, I suspect that if they are ever built, they would be for powering bitcoin hashing rather than synthesizing silver at the rate we are going with hashrate.

Silver is demonetized because the sovereign wants it to be demonetized. Similarly to how the UK drivers use the side of the road opposite to the side of the road used by the US. Different rulers; to a degree.