Very lilely, YES!!! Hard to say ... but, it shouldn't have been driven without TWO SPARE FAN BELTS in the tool kit!
Do yourself a favor ... and don't EVER drive your 911 without a fan belt! A four-mile walk to get a fan belt wouldn't have been that hard a task!
I guess you are one of several recent candiidates for Claude's Buggies (an air-cooled VW supplier) extra-large alternator/fan belt warning lamps ...