Yes, you can but you will need permission of the Court.
While you are in chapter 13 bankruptcy you are prohibited from incurring new debt without permission of the Court. This means no new credit cards, home loans, car loans, or other sorts of debt until your case is over.
However, the Court will grant you permission to incur certain types of debt. The Court will understand that a car is a necessity for you to get to work and run your daily life. Therefore the Court will grant permission for you to incur a new car loan that is reasonable. Luxury cars are not likely necessary nor are trucks or SUVs, unless you need the truck for work, or have an exceptionally large family.
