We've had wheeled chariots and carts powered by animals for almost as long as we've had civilization (about 5000 years). Cars and trucks are simply more efficient (a defensible statement... https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5102965/ particularly with electrification), self-propelled versions of these.

So absolutely we will have cars and trucks well after we're able to develop driverless versions of them.