Yes, you can deduct certain expenses, such as mileage when searching for a new job in your current occupation. There are specific requirements for taking deductions for job search
expenses. To benefit from deducting the costs of searching for a job,
you need to have enough deductions to itemize your deductions (so they
will exceed your standard deduction).
I'm attaching a TurboTax FAQ that gives many specifics:
https://ttlc.intuit.com/replies/3300252
