No you cannot, the house has a working furnace and your room is not an efficiency or studio apartment it is a shared dwelling. Get a space heater. WA does not require that every room in a shared home have its own thermostat and heater/ac that's unreasonable. What you do is get everyone to agree to a higher temp for the house and use fans as they are intended or use a space heater in your room. Either way, you will use more electricity.