No, because while the leasing company may own the vehicle (known as the title holder) the vehicle will be registered in the lesser's name (known as the registered owner.)
In the case of a car purchased with financing like a loan, I believe the purchaser will be both the title and registered owner, but the lender will have a lien on the vehicle until the debt is paid off.
In the case of a car purchased with financing like a loan, I believe the purchaser will be both the title and registered owner, but the lender will have a lien on the vehicle until the debt is paid off.