Yes, you can buy a Used/Pre-owned vehicle by taking a Vehicle Loan. The terms & conditions are different depending on the bank you would deal with. However I could advise you of the services offered by Commercial bank. They have a policy to finance Used Vehicles as long as it is not older than 3 years. Moreover the valuation should be from an Approved Used Car dealer.
The interest rate would be slightly higher as well.
Best of luck!