No, for tax purposes, you don't own the vehicle.
However, you can deduct actual out of pocket vehicle expenses, such as gas, oil, tires, maintenance and repairs prorated for business miles.
To report your vehicle expense in TurboTax:
Type in business expenses in the search box, top right of your screen
Click on first category Jump to business expenses
You will arrive at the
Here's the business info we have so far page
Click Edit
Arrive at the Your Business page
Scroll down to the Business Expenses category
Business Vehicle Expense, second category down