It will be interesting to see how this all pans out. If they want to, there's basically nothing the Germans can't build and build at least as good as everyone else. They are experts at building things and an EV is just another thing (indeed a thing less complicated to make than an ICE vehicle).
The problem with EVs is that they are much less complicated than normal cars but the price does not reflect this. EVs would be lapped up by the masses if they were significantly cheaper than other vehicles. This is probably the main reason the Germans don't want to get into this space because "cheap" is probably the only thing they can't/don't do well.
China, on the other hand, are the experts on cheap and maybe we'll see EVs from China that will drive the cheap revolution that the market needs.