You can claim vehicle and other travel expenses directly connected with your work, but generally you can't claim for normal trips between home and work as this is considered private travel.
Trips between home and work are generally considered private travel. However, you can claim deductions in some circumstances, as well as for some travel between two workplaces.
If your travel was partly private and partly for work, you can only claim for the part related to your work.
What you can claim:
You can't claim the cost of driving your car between work and home just because:
If you do itinerant work (or have shifting places of work) you can claim the cost for driving between workplaces and your home. The following factors may indicate you do itinerant work:
Source: Travel between home and work and between workplaces