Most scrap yards will require a title in order to purchase the car or other vehicle as scrap.
But you may be able to find a scrap yard that will buy the car and then they'll have you sign a bill of sale instead for the scrap car.
I was able to do that before when I had a scrap car to sell but didn't have a title to the car because it was on some land that I bought and there was no title to the car that I could get.
So I called around a few different scrap metal yards and found one that said they would buy the scrap car if I signed a bill of sale instead.
If you did previously have the title but have lost the title then you can put in for a lost title and pay a fee to have a duplicate title sent out to you then you can sell the car with the title.
Other than that you may need to dismantle the car and take it into the scrap yard in pieces but at different times.