Car loans are something that people can shop for, and that all credit pulls within a pre determined period of time (I believe its 2 weeks) are all considered as one hard pull for the credit algorithms. Its expected for people to shop around for both car and home loans so this is the case with both of them.
Perhaps Chase is choosing not to do tesla car loans or only does them through referrals from tesla or something? Tesla uses multiple lenders. You will get your answer if you go in person to a chase branch and ask.
You should plan on the people in the branch re directing you too, and also plan on shopping around, but you will find out for sure by going to a Chase branch.