That wouldn't make much sense. Unless you were negligent in some way (modifications, maintenance not done, etc.), I would expect Tesla to be the liable party. The owner is just using a Tesla feature in the way the company intended.
In the case of Uber, the driver is there as a witness to dispute their account. In the Tesla case, nobody saw it.
And if there are, and if Tesla can monitor them, that's a whole nother set of problems...