Hi Arne,
If the pump has run "completely dry," it might be damaged... but I can't tell from a distance.
"He's no longer in control" . . . in a complete system failure, you probably wouldn't be able to write here anymore

.
You can also drive without power steering (it's a good way to get some arm exercise, especially when parking).
However, I would recommend removing the drive belt beforehand to prevent them from running dry and potentially failing.
Otherwise, I'll fix any leaks at home, top up the power steering fluid (that green stuff!), and then everything should be working again, assuming the pump isn't broken.