Based on the data, no
https://www.tesla.com/VehicleSafetyReport
It doesn’t even pretend to control for other relevant variables, and makes precisely no assertions about touch screens vs. non touch screens.
All it “proves” is that riding a mile in a random Tesla is safer than riding a mile in a randomly chosen non-Tesla.
Why yes, any Tesla is likely safer than my 1998 Lexus ES300 in a variety of ways. No, that doesn’t mean that the touchscreen is what makes it safe.