That has a round trip efficiency of around 20-25 % I think (more if you can also use the process heat), so we would need to over-provision renewables by 400 % to make it work.
There is a ton of unused roof space that could be decked out with solar, though. There are few heat pumps deployed so far, lots of inefficient old houses that could be modernized, plus there is an array of concepts for other storage tech still at a pretty early stage. It's probably going to be a mix of different generation and storage tech coupled with gains in efficiency, and that seems like it could work out.
Sure, feasible in the long run but don't hold your breath on it to work in the next 5-10 years. China has just doubled their growth targets for solar so producers have trouble keeping up with demand already and we have almost no domestic production anymore, so there's just no way we'll be able to act on this in the near future.