No. Personal loans aren't covered under Section 75, as the lender pays the money to you, so there's no creditor-supplier relationship between the lender and the car dealer. However, if you're able to pay even a part of the car's cost using a credit card, you would be covered, even if you then used a loan to pay the rest.
If you have a complaint about a car bought using a personal loan, try to resolve it with the dealer. It has obligations under the Supply of Goods Act which means that it needs to make sure the car it's supplying is fit for purpose, as described and lasts a reasonable length of time.
Unfortunately though, there's less protection if you're using the loan to buy a used car from a private individual. See Buying a used car for what consumer protection rules apply.