Nope. I had Magen-Darm at home and there was no way I'd go anywhere outside. They accepted that TK service to send them my proof of insurance via Fax or Email.

Ah ja stimmt

I've heard there should be another option, iirc bringing the card in later when you're not sick/infectious anymore (better for everyone methinks), but that this takes extra administration on their side and so they mostly refuse to acknowledge you have this legal option. Or so a colleague mentioned some months ago, I probably mix up some details