Yes, you can construct a Faraday cage out of copper mesh or even steel plates.
However, it is difficult to construct a cage of any significant size that doesn't have any "leaks". And, electrical cables, network cables, and even water pipes have to be filtered so they don't conduct radio frequencies.
What's different about this is it's as simple to deploy as wallpaper. It would be interesting to find out if it is easy to seal "gaps".
What’s off-putting about home applications is that you usually don’t wallpaper your windows. Don’t windows allow leaks?
Just a few days ago, I had a chance to try out an RF free room. It was all steel, and the door mechanism really cinched it tight on a seal. And even after all that, it still took 20 seconds for my phone to lose signal.